THE MATHEMATICS STUDENT

 The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). Since 1933, The Indian Mathematical Society publishes two periodicals The Journal of the Indian Mathematical Society ( J. Ind. Math. Soc.; JIMS ; the Journal ; ISSN 0019-5839 ) and The Mathematics Student ( Math Student ; ISSN 0025-5742 ) , both of which are quarterly. The four numbers of the Journal constitute a single volume and it is published in two parts: numbers 1 and 2 (January to June) as one part and numbers 3 and 4 (July to December) as the second part. The four numbers of the Student are currently published as a single yearly volume. In fact, at the time of Silver Jubilee Celebrations on the occasion of completion of 25 years of existence of the Society in 1932, it was decided to start the publication of another periodical, and accordingly the Society started a new periodical, named The Mathematics Student" , in 1933 with A. Narasingrao as its first Editor who worked as founding Editor almpst single handed with great devotion for eighteen years (1933 - 1950) and placed it on firm footing. It may be noted with great pride that * A conference, first of its kind in Asia, entitled "South Asian Conferenceon Mathematical Education" under the directorship of K. Chandrasekharan was held at T I F R, Bombay, during February 1956 in which mathematicians like M. H. Stone, G. Choquet, H. Freudenthal and a host of other world mathematicans participated; the entire Proceedings of the conference has been published in the Mathematics Student Vol. 54 (1956). The Mathematics Student seeks to publish material of interest not just to mathematicians with specialized interests but to the post graduate/research students teachers of Mathematics in India. With this in view, from the 2015 issue onwards, it will publish material of the following type: 1. research papers, 2. the texts (written in a way accessible to students) of the Presidential Addresses, the Plenary talks and the Award Lectures delivered at the Annual Conferences. 3. general survey articles, popular articles, expository papers, Book-Reviews. 4. problems and solutions of the problems. 5. new, clever proofs of theorems that graduate / undergraduate students might see in their course work, and 6. articles that arouse curiosity and interest for learning mathematics among readers and motivate them for doing mathematics. Contributions of these type are invited for publication in THE MATHEMATICS STUDENT.

 Editorial Board, The Mathematics Student. (effective January 01, 2015):

 Manuscript Submission : Manuscripts intended for publication in both the periodicals should be submitted only online in the LATEX and .pdf file including figures and tables. For the Journal , manuscripts in the electronic form should be submitted to Professor Satya Deo, Editor, JIMS. Harishchandra Research Institute, Chhatnag Road, Jhusi , Allahabad – 211 019 (UP), India. E-mail : sdeo94@gmail.com ; jimsmorane@gmail.com For the Mathematics Student , manuscripts in the electronic form should be submitted to Dr. J. R. Patadia, Editor, The Math. Student. (Department of Mathematics, The M. S. University of Baroda), 5, ARJUN PARK, NEAR PATEL COLONY, BEHIND DINESH MILL, SHIVANANDA MARG, VADODARA – 390 007 (GUJARAT), INDIA. E-mail : msindianmathsociety@gmail.com Manuscript Style : Manuscripts (including bibliographies, tables, etc.) should be typed double spaced on A4 size white paper with 1 inch (2.5 cm.) margins on all sides with font size 11 pt., preferably in LaTeX. While typing in LaTeX, the following Preamble be used as is required by the Press : \documentclass[10 pt,a4paper,twoside,reqno]{amsart} \usepackage{amsfonts,amssymb,amscd,amsmath,enumerate,verbatim,calc} \renewcommand{\baselinestretch}{1.2} \textwidth = 12.5 cm \textheight = 20 cm \topmargin = 0.5 cm \oddsidemargin = 1 cm \evensidemargin = 1 cm \pagestyle{plain} Sections should appear in the following order : Title Page, Abstract, Text, Notes and References. Comments or replies to previously published articles should also follow this format with the exception of abstracts. Title Page: The Title page should include the manuscript title, authors’ names & permanent affiliations and the name, address & e-mail address of the author to whom page proofs and reprints are required to be sent. Abstract: The following page should include an abstract of not more than 100 words, a list of two to six key words and AMS subject classification (2000). Text: The text of the manuscript should begin on a new page. The introduction should have heading number 1. Subsequent section headings (including appendices) should be designated by Hindu-Arabic numerals (2,3,…etc.) and subsection headings should be numbered 2.1, 2.2, etc. Figures, tables and displayed equations should be numbered consecutively throughout the text (1, 2,… etc.). Equation numbers should appear flush left in parentheses and running variables for equation (e.g., i =1,2,…, n) flush right in parentheses. References: Responsibility for the accuracy of bibliographic citations lies entirely with the Authors. References in the body of the text should be in cross-reference style ((\cite{}) mode in LaTeX). Example: “… as mentioned in (\cite{}, \cite{}), Ramanujan (\cite{}) obtained the following result …”. references In the list at the end should be in alphabetical order of last name (not initials) and should be in bibliographic cross references mode/style. Examples: Reference to a journal publication: [1]. Birkhoff, G., Neutral elements in general lattices, Bull. Amer. Math. Soc. 46 (1940), 702–705. In LaTeX, \bibitem{Birk} Birkhoff, G., \textit{Neutral elements in general lattices}, Bull. Amer. Math. Soc. {\bf{46}}(1940), 702–705. Reference to a book: [1]. Munkres, J., Elements of Algebraic Topology, Addison–Wesley, 1984. In LaTeX, \bibitem{Munkrs} Munkres, J., \textit{Elements of Algebraic Topology}, Addison–Wesley, 1984. Illustration Style: Originals for illustrations should be sharp and of good contrast. Each Figure and Table should be mentioned in the text and numbered consecutively using Hindu-Arabic numerals. For each Figure and Table, its desired location in the text should be clearly specified. Each Figure and Table must have a caption. Example of proper style for captions : “Figure 1” or “Table 1”. Suggested Figure formats are : TIFF, GIF, EPS, PPT and Postscript. Files should be at least 300 dpi. Copyright: Copy right of the articles published in the Journal or the Student lies with the Indian Mathematical Society. Reprints: Authors of the papers printed in the Journal as well as in the Mathematics Student shall be entitled to receive soft copy (PDF file with watermarked ‘Author’s copy”) of the paper published. There are no page charges for publications in the Journal as well as in the Mathematics Student. However, if author(s) (whose paper is accepted for publication in any of the IMS periodicals) is (are) unable to send the LaTeX file of the accepted paper, then a charge Rs. 100 (US $10) per page will be levied for LaTex typesetting charges Subscriptions : ** Annual subscription for the Journal / the Student : For each periodical • Rs. 1500/- for Libraries of Educational Institutions in India - provided the subscription is directly through IMS. • Rs. 1800 for Libraries of Educational Institutions in India when the subscription is through an agent who gives complete name and address of the subscriber. The supply will be made directly to the subscribing library. The agents will get 15% discount. • Rs. 8000/- to others for personal use or to the agents who do not supply the name and address of the end user. In this case, the agents will get 20% discount. •$150/- for personal use or for Libraries outside India. Agent's discount is 20%. ** Henceforth, from the 2012 issue of The Mathematics Student onwards, the Life Members will be given on line access to the Mathematics Student / will be sent on line the soft copy of the Mathematics Student, in electronic form, instead of supplying the hard copy, for their personal use (not for circulation) at their email address registered by the members with the Society (instead of in the physical form) Those Members who have not registered their e-mail address are requested to register it on line on < imsgoesgreen@gmail.com >. It may please be noted that the contents of The Mathematics Student will continue to be available on the Society’s website www.indianmathsociety.org and a physical copy of The Mathematics Student will continue to be available at the IMS Library (Ramanujan Institute of Advanced Study in Mathematics, Madras University, Chennai) as well as at the Registered Office of the Society (Department of Mathematics, University of Pune, Pune – 422 007) for reference during office hours. ***Life Members with their mailing address in India or the International Life members can subscribe the Journal at Rs.1500/- (US\$ 35/-) for their personal use (not for sale/resale).. Business Correspondence and Payments : All the business correspondence be addressed to Prof. S. K. Nimbhorkar, Treasurer, IMS; Department of Mathematics, Dr. B. A. M. University, Aurangabad – 431 004 (Maharashtra), India. All the payments are to be made to Prof. S. K. Nimbhorkar, Treasurer, IMS by DD drawn in favour of “The Indian Mathematical Society” payable at Aurangabad (Maharashtra), India.

 The following volumes of The Mathematics Student are recently published : Vol. 85, Nos. 3-4, July-December (2016) Vol. 85, Nos. 1-2, January-June (2016) Vol. 84, Nos. 3-4, July-December (2015) Vol. 84, Nos. 1-2, January-June (2015) Vol. 83, Nos. 1-4, (2014) Vol. 82, Nos. 1-4, (2013) Vol. 81, Nos. 1-4, (2012) Vol. 80, Nos. 1-4, (2011) Vol. 79, Nos. 1-4, (2010) Vol. 78, Nos. 1-4, (2009) Vol. 77, Nos. 1-4, (2008) Special Centenary Volume (2007) Vol. 76, Nos. 1-4, (2007) Vol. 75, Nos. 1-4, (2006) Vol. 74, Nos. 1-4, (2005) Vol. 73, Nos. 1-4, (2004) Vol. 72, Nos. 1-4, (2003) Vol. 71, Nos. 1-4, (2002) The following volume of The Mathematics Student is under preparation : Vol. 86, Nos. 1-2, January-June, (2017) The CONTENT of these volumes, from 2002 to 2015 are displayed in the following; while recently published complete volumes are available for free open access to all on our website:

CONTENT of The Mathematics Student, Vol. 84, Nos. 1 - 2, January-June (2015):

 Sr. No. Author Title of the article / Paper Pages 1. S. G. Dani Prizes, recognitions and promotion of mathematics 01-06 2. S. G. Dani Dynamics of Numbers 07-21 3. Ritabrata Munshi On some recent applications of circle method 23-38 4. Ajit Iqbal Singh How permutations, partitions, projective representations and positive maps entangle well for quantum information theory 39-52 5. Pablo Andres Panzone A generating function related to Pi. 53-56 6. Jay Praksh Singh On a type of Sasakian manifolds admitting a quarter symmetric non-metric connection 57-67 7. Amrik Singh Nimbran Deriving Forsyth-Glaisher type series for 1/Pi and catalan's constant by an elementary method. 69-86 8. Dinesh Kumar On escaping sets of some families of entire functions and Dynamics of composite entire functions. 87-94 9. Priti Singh and Shiv Datt Kumar Existence of reduction of ideals over semi-local rings. 95-104 10. Manjil P. Saikia A study of the Crank function in Ramanujan's lost notebook. 1o5-121 11. Josef Bukac Integrability of continuous functions. 123-127 12. M. Ram Murty and Kannappan Sampath very simple proof of Stirlings formula 129- 133 13. Manisha Kulkarni and B. Sury Diophantine equations of the form f(x) = g(y) - an exposition. 135-155 14. -- Problem Section 157-161

CONTENT of The Mathematics Student, Vol. 83, Nos. 1 - 4, (2014):

 Sr. No. Author Title of the article / Paper Pages 1. Geetha S. Rao The Universal appeal of Mathematics. 01-04 2. Geetha S. Rao. A new tool in approximation theory. 05-20 3. - Abstracts of the Papers submitted for presentation at the 79th Annual Conference of the Indian Mathematical Society held at the Rajagiri School of Engineering, Rajagiri Valley, Kakkanad - 221 005, , Dist. Ernakulam, Cochin, Kerala, during January 28 - 31, 2013 21-52 4. D. V. Pai. Viscosity approximation methods for minimization and fixed points problems-a relook. 53-72 5. M. M. Shikare. Generalizations of some graph-theoretic results to matroids. 73-86 6. Ajay Kumar From Fourier series to harmonic analysis on locally compact groups 87-107 7. Satya Deo Topological Combinatorics - The Kneser conjecture. 109-124 8. Om P. Ahuja. Recent advances inthe theory of harmonic univalent mappings in the plane. 125-154 9. Amrik Singh Nimbran Generalized Wallis-Euler products and new infiniteproducts for Pi. 155-164 10. Saurabh Manro A common fixed point theorem for weakly compactible mappings via an implicit relation in an intuitionistic fuzzy metric space. 165-175 11. Chun Wang and Li-Na Zeng Some properties for generalized Cauchy numbers of two kinds. 177-184 12. Fahed Zulfeqarr. Construction of a p-Sylow subgroup in Sn. 185- 190 13. Raghavendra G. Kulkarni General formulas for removing the second andthird term in a polynomial equation of any degree. 191-199 14. Susil Kumar Jena On A^4 + nB^3 + C^2 = D^4. 201-203 15. R. N. Singh, M. K. Pandey and S. K. Pandey On Kenmotsu Manifolds. 205- 219 16. Alexandre Laugier and Manjil P. Saikia A characterization of a prome p from the binomial coefficient C(n, p). 221-227 17. K. N. Darji On the vector valued functions of bounded variation in twovariables. 229-237 18. Segio R. Lopez-permouth. Book-Review : Cyclic modules and structure of the rings. 239-241 19. - Report on IMS Sponsored Lecturs. 243 20. Vinod Kumar P. B. 79th IMS Conference : A Brief report. 245-249

CONTENT of The Mathematics Student, Vol. 82, Nos. 1 - 4, (2013):
(Dedicated to Prof. V. M. Shah in honour of his long and outstanding services to the Indian Mathematical Society)

 Sr. No. Author Title of the article / Paper Pages 1. J. R. Patadia Professor V. M. Shah - An Academician with multifaceted personality. 01-07 2. N. K. Thakare. Professor V. M. Shah : Soul of IMS. 09-11 3. Satya Deo. Professor V. M. Shah : in honour of his retirement from the Indian Mathematical Society. 13-16 4. Huzoor H. Khan. Importance of Mathematics at School level. 17-21 5. Huzoor H. Khan. Growth and polynomial approximation of entire function: A brief survey. 23-35 6. - Abstracts of the Papers submitted for presentation at the 78th Annual Conference of the Indian Mathematical Society held at Banaras Hindu University, Varanasi - 221 005, during January 22 - 25, 2013 37-82 7. H. P. Dikshit. Wachspress, mean value and General Barycentric coordinates and their mapping properties. 83- 101 8. Basudeb Datta. Triangulations of projective spaces. 103-116 9. B. N. Waphare Dismantlability and Reducibility in discrete structures. 117-130 10. J. K. Verma. R. P. Stanley's solution of Anand-Dumir-Gupta conjectures about magic squares. 131-145 11. R. G. Vyas. Convolution function of several variables with p(n) bounded variation. 147-155 12. Suneel Kumar and Sunny Chauhan. Fixed points of expansion mappings in Menger spaces using weak compatibility. 157- 164 13. Arpad Szaz An easy to remember economic approach to the Riccati differential equation. 165-176 14. Amrik Singh Nimbran. Euler's constant, harmonic series and related infinite sums. 177-182 15. Arindam Sengupta. The Range of Bernoulli probabilities. 183- 189 16. A. Padmanabh Reddy and N. M. Bujurke. Biorthogonal wavelets based preconditioners for sparse linear systems. 191-208 17. Sanjib Kumar Datta, Tanmay Biswas and Ritam Biswas. Comparative growth properties of composite entire functions in the light of their relative orders. 209-216 18. Pradip Majhi. On some invariant submanifolds of Kenmotsu manifolds. 217-231 19. S. K. Vaidya and D. D. Bantwa Radio number for linear Cacti. 233-245 20. S. S. Khare. On Abel Prize 2011 to John Willard Milnore : A brief discription of his significant work. 247-279 21. - 78th IMS Conference : A Brief report. 281-286

CONTENT of The Mathematics Student, Vol. 81, Nos. 1 - 4, (2012):

 Sr. No. Author Title of the article / Paper Pages 1. P. K. Banerji Unsinkable mathematics that is sinking. 01-06 2. P. K. Banerji. Three most generalized integrals of the 20th Century. 07-18 3. - Abstracts of Papers submitted for presentation at the 77th Annual Conference of the Indian Mathematical Society held at Swami Ramanand Teerth Marathwada University,Vishnupuri, Nanded - 431 606 (MS), during December 27 - 30, 2011. 19-56 4. Ajai Choudhry. Some Diophantine problems concerning perfect powers of integers. 57- 76 5. S. S. Khare. Span of specific manifolds. 77-99 6. B. Ramakrishnan Modular forms of half-integral weight. 101-114 7. Geetha S. Rao Tools and techniques in approximation theory. 115-133 8. Gadadhar Misra. Differentiation, homogeneous operators and matrix valued co-cycles for Mobius group. 135-143 9. Ritu Khanna Reduction and summation formulae for basic and polybasic hypergeometric series of two variables. 145- 149 10. Susil Kumar Jena Method of infinite ascent applied on mA^3 +nB^3 = 3C^2. 151-160 11. S. K. Kango. Thermal instability in Walters' B'elastico-viscous fluid in porous medium in hydromagnetics. 161-169 12. S. Ray and A. Garai. The Laplace derivative. 171- 175 13. S. Ray and A. Garai. The Laplace derivative II 177-184 14. Ajai Choudhry. Triads of integers with equal sums and equal products. 185-188 15. T. S. S. R. K. Rao. Length inequalities for vectors in normed linear spaces. 189-198 16. Talal Ali Al-Hawary Generalized Matroids. 199-204 17. R. N. Singh and Shravan K. Pandey. On generalized Sasakian-space- forms. 205-213 18. Sumit Kumar Upadhyay and Shiv Datt Kumar Existence of a unique group of finite order. 215-218 19. Mihai Turinici. Nieto-Lopez theorems in ordered metric spaces. 219-229 20. - Report on I. M. S. Sponsored Lecture. 231-232 21. N. K. Thakare. Book-Review 233-234 22. S. B. Nimse 77th IMS Conference : A brief report. 235-240

CONTENT of The Mathematics Student, Vol. 80, Nos. 1 - 4, (2011):

 Sr. No. Author Title of the article / Paper Pages 1. R. Sridharan On the division by 5 of periods of elliptic functions and the Existence of an outer automorphism of S6. 01-11 2. Shiva Shankar. A question of Models. 13-20 3. Mahan Mj. Geometry and Dynamics of Kleinian groups. 21-29 4. Subhash J. Bhatt. C*-algebras, Uniform Banach Algebras and a functional analytic meta theorem. 31- 66 5. V. Suresh. A Hasse Principle for quadratic form. 67-72 6. Amit Kulshrestha and Anupam Singh Real elements and Schur indices of a group. 73-84 7. M. M. Shikare The element splitting operation for graphs, Binary Matroids and its applications. 85-90 8. Mumtaz Ahmad Khan, Subuhi Khan and Rehana Khan. Modified Hermite polynomials of several variables. 91-97 9. Bhanu Gupta and Sanjay K. Srivastava. Stability and boundedness of impulsive delay differential systems. 99-113 10. Sanjay Tripathi A note on an extension of absolute Riesz summability factors of an infinite series and its applications. 115-122 11. Dhruwa Narain, Sunil Kumar Yadav and Sudhir Kumar Dubey. On Lorentzian Para-Sasakian manifolds. 123-129 12. D. S. Palimkar. Existence theory of first order random differential inclusion. 131- 140 13. Vanita Jain Certain classes of univalent functions having negative coefficients with respect to conjugate and symmetric conjugate points. 141-148 14. Denis Nemzer. Extending the Laplace Transforms II: convergence. 149-155 15. Mumtaz Ahmad Khan, Subuhi Khan and Rehana Khan. Application of fractional calculus to obtain generating functions. 157-163 16. K. R. Vasuki and C. Chamaraju A simple proof of W. N. Baily's 2psi2 Bilateral basic hypergepmetric series transformation formula. 165-169 17. S. P. Malgonde. Distributional generalized modified Struve transform. 171-182 18. Amrik Singh Nimbran Triangular squares : some new identities. 183-200 19. T. D. Narang On proximality pairs. 201-208 20. S. Arumugam and B. Vasanthi. Graph theoretical models for social networks - A brief survey. 209-229 21. A. K. Shukla 76th IMS Conference : A brief report 231-237 22. - Report on IMS sponsored Lectures. 238 23. Fellow IMS members of 1926. Address to V. Ramaswami Aiyar - the Founder Father of the Society : 239-242 24. - Genesis of Founding of the Society by V. Ramaswami Aiyar in his Presidential Address of 1926 243-258 25 - The List of Twenty Founding Members of the Indian Mathematical Society along with the first original letter by V. Ramaswami Aiyar to colleagues. 259-263

CONTENT of The Mathematics Student, Vol. 79, Nos. 1 - 4, (2010):

 Sr. No. Author Title of the article / Paper Pages 1. R. Sridharan An Encomium of Hermann Weyl. 01-11 2. - Abstracts of the Papers submitted for presentation at the 76th Annual Conference of the Indian Mathematical Society held at the Sardar Vallabhbhai National Institute of Technology, Surat - 395 005, Gujarat, during December 27-30, 2010 13-59 3. Girija Jayaraman Mathematical Challanges in Modelling Cardovascular flows and associated Clinical proceedures. 61-76 4. Ravi Kulkarni Parametrization Problems and spaces of Geometric Objects. 77-108 5. S. D. Adhikari, M. N. Chintamani and B. K. Moriya The Cauchy-Davenport Theorem: Various proofs and some early Generalizations. 109-116 6. B. Ramkrishnan On representation of integers as sums of Two, Three and Four squares. 117-141 7. A. K. Goyal Compatible mappings and common fixed point. 143-151 8. S. Uma, R. Balakrishnan and T. Tamizh Chelvam Equi Commutative Near Rings Analytic Functions. 153-162 9. T. D. Narang and Sangeeta Some Characterizations of Suns in terms of fixed points in Linear Metric Spaces. 163-170 10. Amrik Singh Nimbran On the derivation of Machin-like Arctangent identities for computing Pi. 171-186 11. Susil Kumar Jena Method of Infine Ascent applied on mA^3 + n B^3 = C^2. 187-192 12. Sarjoo Prasad Yadav. Approximation by Linear Method involving Jacobi polynomials. 193-198 13. R. K. Singh, P. Singh and V. K. Pandey Some concrete examples of Co-semigroups of operators and their properties. 199-218 14. Dipta Shyamal Mallick. On the first case of Fermat's Last Theorem. 219-221 15. K.- L. Tseng, K.- C. Hsu, S. S. Dragomir and G.- S. Yang Some weighted generalization of Discrete Opial-type inequalities. 223-229 16. R. G. Vyas On absolute convergence of Fourier series. 231-235 17. S. J. Bhatt, P. A. Dabhi and Krunal Kachhia. Absolutely Differentiable functions and functions of Bounded Differential Variation. 237-251 18. - Report on IMS Sponsored Lectures 253

CONTENT of The Mathematics Student, Vol. 78, Nos. 1 - 4, (2009):

 Sr. No. Author Title of the article / Paper Pages 1. Peeyush Chandra Mathematics education in India : some Observations and Concerns. 01-05 2. Peeyush Chandra Mathematical Modelling of HIV Dynamics : In Vivo. 07-27 3. - Abstracts of Papers submitted for presentation at the Platinum Jubilee 75th Annual Conference of the Indian Mathematical Society held at the Kalasalingam University, Anand Nagar, Krishnankoil - 626 190 during December 27-30, 2009 29 - 67 4. M. S. Chaudhary Transform Analysis and Distribution Spaces. 69-109 5. A. M. Mathai Random Geometrical Configuration and Random Volumes. 111- 125 6. S. Sundar and Lemi Guta Navier-Stokes-Brinkman Model for Numerical Simulation of Free Surface Flows 127-143 7. N. S. Narasimha Sastry Invariants of Incidence Matrices. 145-162 8. J. Jeba Jesintha and G. Sethuraman A new family Graceful Rooted Trees. 163- 170 09. Susheel Chandra and A. K. Mishra A note on Radius of Starlikeness of Bounded Analytic Functions. 171-175 10. B. Basavangoud and Kirthi Mirajkar On Plick Graphs with Point-Coarseness Number One. 177-185 11. K. G. Bhat, K. Ramachandra and P. G. Vaidya An Introduction to Trigonometry (A new Outlook) 187-207 12. B. K. Lahiri and Pratulananda Das Porocity of the Two Ratio Cantor Set. 209-211 13. Anand P. Singh and Kulwant Singh On Fatou Components of certain compositions of Entire Functions. 213-218 14. S. S. Rana, M. Dube and S. Sanyal Convergence of Deficient Cubic Spline Interpolation. 219-225 15. Ajay Choudhry Some Exponential Diophantine Equations. 227-232 16. Susil Kumar Jena Method of Infinite Ascent applied on A^4 + or - nB^2 = C^3. 233-238 17. S. Arumugam Platinum Jubilee 75th IMS Conference - A brief Report 239-244 18. - Report on IMS Sponsored Lectures 245-246

CONTENT of The Mathematics Student, Vol. 77, Nos. 1 - 4, (2008):

 Sr. No. Author Title of the article / Paper Pages 1. M. A. Pathan Professor R. P. Agarwal (1925-2008) 01-08 2. N. K. Thakare Professor R. P. Agarwal : A RATAN (JEWEL) IN MATHEMATICS 09-11 3. A. K. Agarwal The Importance of Mathematics 13 - 18 4. A. K. Agarwal Ramanujan's Contributions and some recent advances in the Theory of Partitions 19-35 5. - Abstracts of Papers presented at the 74th Annual Conference of the Indian Mathematical Society held at the University of Allahabad, Allahabad during December 27-30, 2008 37-74 6. S. G. Dani On some large subsets of Euclidean spaces involved in Geometry, Dynamics and Diophantine Approximation 75-85 7. M. Ram Murty Transcendental Numbers and zeta functions 87-101 8. G. S. Srivastava Entire function extensions of Continuous functions : A brief survey 103- 117 09. S. Arumugam Coloring and Domination in Graphs 119-129 10. S. D. Adhikari The relation between two combinatorial group invariants : History and Ramifications 131-143 11. Siddhartha Gadgil Orders on manifolds and Surgery 145-159 12. G. S. Saluja Random Fixed Point of Three-Step Random iterative process with errors for Asymptotically quasi-nonexpansive random Operator 161-176 13. Mridula Garg and Tripati Gupta On certain new summation Formula for Fox H-Function 177-181 14. B. S. K. R. Somayajulu and Kadambini Kar Some new properties of Prime Powers 183-192 15. T. S. Nanjundiah The nowhere differentiable continuous functions of Weierstrass and Van Der Waerden 193-196 16. Aribindi Satyanarayan Rao On the existence of a unique almost periodic solution of a non-linear Abstract Differential Equation 197-202 17. Dragu Ananasiu and Dennis Nemzer Extending the Laplace Transform 203-212 18. Ralph Chill Three variations on Newton's method 213-229 19. Akhilesh Prasad Hankel Transform on a Gevrey Space 231 - 238 20. Susil Kumar Jena Method of Infinite Ascent applied on mA^6 + nB^3 = C^2 239-246 21. V. A. Hiremath and S. S. Gramopadhye Dualization of Cyclic Purity 247-255 22. Ramji Lal 74th IMS Conference - A brief Report 257-263 23. - Report on IMS Sponsored Lectures 265-270

CONTENT of The Special Centenary Volume (2007) of The Mathematics Student. :

 Sr. No. Author Title of the article / Paper Pages 1. Nayandeep Deka Baruah, Bruce Berndt and Heng Huat Chan Ramanujan's series for 1/pi : a survey. 01-24 2. George E. Andrews The theory of compositions IV : Multicompositions. 25-31 3. V. S. Varadarajan Unitary representations of super Lie groups and some applications. 33 - 57 4. M. S. Raghunathan Discrete subgroups of Lie groups. 59-70 5. S. P. Dutta A connection between two sets of conjectures. 71-80 6. K. Varadarajan Formal trianglular matrix rings and modules over them - a survey 81-99 7. Indranil Biswas Notes on holomorphic principal bundles over a compact Kahler manifold. 101-112 8. Sudhir Ghorpade and Balnohan V. Limaye Sylvester's minorant criterion, Lagrange-Beltrami identity and nonnegative definiteness. 113-119 9. Satya Deo Cohomology theories best suited for algebraic dimension theories Applications. 121-134 10. T. N. Shorey Theorems of Sylvester and Schur. 135-145 11. Rahul Roy Covering of space by random sets. 147-154 12. Ramaiyengar Sridharan and Raja Sridharan A remarkable proof of Gordon on the reduction of the general quintic to Brioschi normal form. 155-168 13. A. S. Gupta Deterministic chaos. 169-176 14. Murali K. Srinivasan Some problems motivated by the notion of threshold graphs 177-187 15. S. Thangavelu Invariant Hilbert spaces of holomorphic functions 189-203 16. J. K. Verma Hilbert coefficients and depth of the associated graded ring of an ideal 205-228 17. R. Sujatha Euler : A life of mathematics. 229-235 18. Raja Sridharan On a certain lemma en-route to the proofs of the nullstellensatz, the quillen-suslin theorem and Forster's conjecture 237-240 19. S. K. Tomar Elastic wave propagation in materials with voids - a review 241-260 20. N. M. Bujurke, Ramesh B. Kudenatti and V. B. Awati Analysis of boundary layer equations by the method of Asymptotic function 261-272

CONTENT of The Mathematics Student, Vol. 76, Nos. 1 - 4 (2007):

 Sr. No. Author Title of the article / Paper Pages 1. Asha Rani Professor Mahendra Kumar Singal (1932-2006) 01-04 2. Satya Deo Professor M. K. Singal : An organizer par excellence 05-06 3. A. N. Mitra A date with Mahendra Kumar Singal 07 - 08 4. N. K. Thakare Professor M. K. Singal : A tribute 09-11 5. Sunder Lal Professor M. K. Singal : A life devoted to Mathematics 13-15 6. R. S. Pathak and S. R. Verma Jacobi Convolution of Distributions 17-28 7. Aurn M. Vaidya S. Chowla's Contributions to Combinatorics 29-38 8. Prem Narain The Transmission/Disequilibrium Test (TDT) used in Human Genetics 39- 48 09. R. B. Bapat Challanges and Frustrations of being a Mathematician 49-54 10. R. B. Bapat Recent Developments and Open problems in the Theory of Permanents 55-69 11. - Abstracts of Papers presented at the 73rd Annual Conference of the Indian Mathematical Society held at Pune University, Pune during December 27-30, 2007 71-102 12. S. T. Yau The Past, Present and Future of Mathematics in China and India 103-128 13. S. R. S. Varadhan Homogenization 129-136 14. Dinesh Singh Harmonic Analysis on the Unit Circle : A personal Perspective 137-155 15. Daniel Wulbert The Locator Problem 157-162 16. Dinesh S. Thakur Recent Developments in Function Field Arithmetic 163-170 17. Shreeram S. Abhyankar Conics as Axis and Jacobian Problem 171-183 18. K. Varadarajan Anti Hopfian and Anti Co-Hopfian Modules 185-193 19. Ajay Kumar Operator Space Structure on Banach Spaces 195 - 202 20. A. K. Lal, Sukanta Pati and K. L. Patra Graph Structure via its Laplacian Matrix 203-216 21. B. Choudhary On Sequence Spaces defined by Orlicz Functions 217-224 22. Kanti Pandey Burgers Equations : Introduction and Applicability 225-236 23. S. K. Vaidya, G. V. Bhodasara, S. Srivastav and V. J. Kaneria Cordial Labelling for Two Cycle Related Graphs 237-246 24. Ajai Choudhary On Squares of Squares 247-255 25. Ravi S. Kulkarni Book Review 257-266 26. B N Waphare 73rd I M S Conference - A brief Report 267-272

CONTENT of The Mathematics Student, Vol. 75, Nos. 1 - 4 (2006):

 Sr. No. Author Title of the article / Paper Pages 1. N. K. Thakare Prof. H. C. Khare : A Tribute 01-02 2. Satya Deo Rough and Soft : Prof. H. C. Khare 03-05 3. R K Srivastava Prof. H. C. Khare : Selfless Wisdom and Academic Vision Anthromorphized 07 - 08 4. A. K. Das and S. S. Khare On Conjectures of H. Singh 09-16 5. Prem Narain Statistical tools in Bioinformatics 17-27 6. I B S Passi Presidential Address (General) 29-35 7. I B S Passi Homological and Combinatorial Methods in Group Rings 37-63 8. - Abstracts of Papers-72nd Annual Conference of the IMS held at Rani Durgavati University Jabalpur during December 27-30, 2006 65-85 9. P. K. Banerji Unfolding the Concepts of Boehmians and their Applications 87-121 10. Phoolan Prasad P. L. Bhatnagar and the BGK Model 123-136 11. Subhash S. Bhoosnurmath Birth and Development of Hyperbolic Metric and its impact on the 21st Century Mathematics 137-157 12. R. J. Hans-Gill On a Conjecture of Minkowski 159-166 13. R K Singh Invariant Subspace Problem and Development of Mathematics around it 167-172 14. Surindar Mohan Uppal Can Mathematics Bring Peace ? 173-178 15. Sanjay Jain and Mukesh Kumar EOQ for Varying Marketing Policies Under a Replacement Policy for Damaged Items 179-186 16. Sanjay Jain, Adarsh Mangal and P. R. Parihar On the Posynomial Linear Plus Fractional Programming Problem 187-196 17. Ajai Choudhary The Algebraic Structure of the set of Integer Solutions of a quadratic Diophantine Equation 197-201 18. T. Phaneendra Orbits relative to Two Self-maps and Common Fixed Point 203-207 19. Hemant Kumar Nashine and C. L. Dewangan An Existence Result on KY Fan Best Approximant 209-214 20. Ajai Choudhary Matrix Analogues of the Terry-Escott Problem, Multigrade Chains and the Equation of Fermat 215-224 21. Jyoti Kaushik and Neeru Kashyap Weighted Weyl's Spectrum 225-230 22. G S Saluja Fixed Points for an Admissible Class of Asymptotically Regular semigroup in Banach Spaces with Weak Uniformly Normal Structure 231-238 23. Ajai Choudhary A Diophantine System 239-241 24. Yaakov S. Kupitz and Horst Martini Equilibrium under Atmospheric Pressure 243-252 25. T N Venkataramana Book Review 253-256

CONTENT of The Mathematics Student, Vol. 74, Nos. 1 - 4 (2005):

 Sr. No. Author Title of the article / Paper Pages 1. P. C. vaidya Professor J. N. Kapur - A Rare Leader 01-02 2. A. M. Vaidya Integer Sided Triangles With One Agle 60 Degree 03-05 3. Prem Narain Mapping of Quantitative Trait Loci (QTL) 07 - 18 4. D. K. Sinha Some Snapshots of Reminiscing Professor J. N. Kapur : A Tribute 19-23 5. Sunder Lal Professor J. N. Kapur : A Multidimensional Mathematician 25-27 6. P. N. Tiwari and A. R. verma Professor J. N. Kapur : Promoter of Ethics and Norms of Science 29-35 7. B. K. Sachdeva Professor J. N. Kapur (Some Personal Reminiscences) 37-38 8. L. S. Kothari Professor J. N. Kapur : A Great Teacher and Promoter of Mathematics 39 9. Prem Narain Tribute to Professor J. N. Kapur 41-42 10. Sarva Jit Singh Presidential Address (General) 43-47 11. Sarva Jit Singh Recent Developments in Poroelasticity 49-67 12. - Abstracts of Papers-71st Annual Conference of the IMS held at I. I. T. Roorkee, Roorkee during December 26-29, 2005 69-121 13. S. Parvathi "Schur Weyl Duality" for a Larger Class of Algebras 123-142 14. Aloke Dey Orthogonal Arrays 145-152 15. Aalok Misra (String Theory Inspired) Excursions into (Complex)Differential Geometry of some non-Kahler six-folds and their exceptional uplifts 153-170 16. T K Das On Posets of Certain Classes of Maps 171-181 17. V. Balaji C. S. Seshadri : A Distinguished Mathematician 183-187 18. Ramadas Ramakrishnan Trivandrum M. S. Narasimhan : A Distinguished Mathematician 189-191 19. R. Sujatha Parimala Raman : A Distinguished Mathematician 193-197 20. Tikam Singh and Bhavana soni Approximation by Generalized de la Vallee Poussin Operators 199-206 21. R. K. Yadav and S. D. Purohit On q-Laplace Transforms of Certain Multiple Basic Hypergeometric Functions 207-215 22. S. Arumugam Difference Labelling and Common Weight Decompositions of Graphs 217-223 23. S. Bhargava, D. D. Somashekara and Syeda Noor Fathima A new Transformation for Basic Bilateral Hyper Geometric Series 225-230 24. Ajai Choudhary Some Diophantine Equations Involving Sixth Powers 231-236 25. Sunder Lal and Vandani Verma Identity based Strong Designated Verifier Proxy Signature Scheme 237-244 26. Eknath Ghate, Dipendra Prasad and Riddhi Shah Book Reviews 245-249 27. G. S. Srivastava 71st IMS Conference : A Brief Report 251-254 28. - Report on IMS Sponsored Lectures 255-256

CONTENT of The Mathematics Student, Vol. 73, Nos. 1 - 4 (2004):

 Sr. No. Author Title of the Paper Pages 1. T. Thrivikraman Traditional Mathematics in India after Bhaskara - New Approach Needed 01-02 2. T. Thrivikraman Topological Systems - A Potentially Productive Approach 03-12 3. - Abstracts of Papers - 70th Annual Conference of IMS held at J.N.V. University at Jodhpur. 13 - 42 4. S. K. Nimbhorkar Bear*-Rings, Lattice Theory , Graph Theory and Their Interrelationship 43-59 5. Anand P. Singh Advances in the Dynamics of Entire and Meromorphic Functions 61-72 6. V. K. Balchandran Agebraic Topology : Some Historic Perspectives 73-86 7. Chandrasekhar Adiga Sums of Squares and Sums of Triangular Numbers and their relationship 87-94 8. M. A. Sofi Banach Spaces arising as Solutions of Equations involving Nuclear Operators 95-108 9. S. L. Kalla Mathematical Models for Temperature Fields in Oil Strata 109-117 10. G. S. Srivastava Spaces of Entire Functions 119-128 11. M. P. Wasadikar Generalizations of Normal Lattices 129-133 12. dr. S. S. Bhusnurmath Differential Geometric Techniques in Complex Analysis 135-144 13. A. Rao Cocyclic Binary and Non-Binary Codes 145-156 14. M. S. Choudhary Generalized Functions : Different Approaches 157-165 15. P. K. Banerjee and S. K. Al-Omari Distributional Struve and Hankel Transformations of Compact Support 167-173 16. B. Basavangoud and V. R. Kulli Hamiltonian and Eulerian properties of Plick Graphs 175-181 17. R. K. Yadav and Balraj Singh On a set of Basic Polynomials Zn,alpha(x;k,q) suggested by Basic Laguerre polynomials Ln,alpha(x;q) 183-189 18. B.P.Verma Solution of a Problem posed by Fisher and some generalization. 191-192 19. Deshna Loonker and P.K.Banerjee Distributional Laplace - Hankel Transform by Fractional Integral Operators 193-197 20. S. Bhargava and N. Anitha A Continued Fraction for certain q-Series of Ramanujan 199-404 21. R. D. Giri and P. B. Bahatkar On Triangular, Mersener's and Fermat's numbers 205-207 22. S. B. Gaikwad and M. S. Choudhary and K. Shivashankara Abelian Theorem for the Distributional Modified Stieltjes Transform 209-218 23. M. G. Nadkarni Did Cantor sow the seed of Measure and Integral? 219-230 24. Asha Rani Singal Cryptology : A journey from waxed Tablets to Euler's Theorem - I. 231-246 25. B. Choudhary Matrix Transformations and isomorphic structure of Locally Convex FK-Spaces 247-252 26. Saurabh Singal Book Reviews 253-258 27. - News and Announcement 259-260

CONTENT of The Mathematics Student, Vol. 72, Nos. 1 - 4 (2003):

 Sr. No. Author Title of the Paper Pages 1. T. Parthasarathy Injectivity of Mappings in Rn 01-04 2. T. Parthasarathy Five Decades of Stochastic Games 05-10 3. - Abstracts of Papers - 69th Annual Conference of IMS held at University of Lucknow, Lucknow. 11 - 29 4. M. A. Pathan Some Formulas of Ramanujan on Hypergeometric series 31-44 5. B. K. Lahiri Uniformly Normal Structure 45-52 6. S. Sri Bala Jordan Algebras 53-67 7. Rajiv K. Srivastava Bicomplex Numbers : Analysis and Applications 69-87 8. Anand P. Singh Some directions in Complex Dynamics 89-100 9. C. M. Joshi Rogers-Ramanujan Identities : A Historical Overview and significance of Baily's Transform 101-112 10. D. V. Pai Strong Unicity of Order Two in simultaneous approximations 113-121 11. S. P. Arya and Neeru Jain Some Weaker form of Fuzzy Weak Continuity 123-131 12. T. N. Sinha On the Diophantine Equation x4 + kx2y2 +y4 = z2 133-137 13. Peter Lindqvist and Jaak Peetre p-Arc length of q-Circle 139-145 14. Takeshi Okano A note on Irrationality of Some Numbers 147-148 15. Yaakov S. Kupitz and Horst Martini On the Monotonicity of (sinx)/x from the Ancient to a Modern Point of View 149-161 16. Rinu Srivastava and B.M.L. Srivastava Identities of I function of One Variable 163-164 17. M. Imdad and Q.H.Khan Remarks on Fixed and Coincident points of Certain Composite Involutions in Banach Spaces 165-169 18. M.S.Younis On the Mapping Properties of an Index of the Fourier Transforms of Lipschitz Functions on Certain Motion Groups 171-179 19. P.K.Banerjee and Abha Purohit Integral Transform on Lp-spaces 181-185 20. D. J. Prabhakaran On certain Integral Transforms of Meromorphic Starlike Functions 187-196 21. Devbhadra V. Shah On Triangular, Mersener's and Fermat's numbers 197-199 22. M.S.Mahadev Naika and K. Shivashankara Some values for the Ratios of Theta-Functions 201-204 23. D. V. Shah Corrections in the Formula for P5(n) 205-211 24. D. P. Shukla On an orthonormal Set of Polynomials 213-219 25. S.P.Singh and Lilawati Pal Certain Transformation Formulae for q-Hypergeometric Series 221-225 26. Rakesh Goel A Method to Calculate the Value of pi 227-232 27. Asha Rani Singal, Saurabh Singal and Arun M. Vaidya Book Reviews 233-249 28. - News and Announcements 250-252

CONTENT of The Mathematics Student, Vol. 71, Nos. 1 - 4 (2002):

 Sr. No. Author Title of the Paper Pages 1. P. V. Arunachalam Presidential Address - General 01-03 2. P. V. Arunachalam Mathematics of the Twentieth Century - A Point of View 05-20 3. - Abstracts of Papers - 67th Annual Conference of IMS held at Aligarh Muslim University, Aligarh, Jan 27-30, 2002 21 - 48 4. J. R. Patadia Lacunary Fourier series and Sidon sets 49-71 5. S. P. Singh and Mahi R. Singh Fixed Points Theorems and Applications 73-81 6. M. K. Gupta On some Weak Separation Axioms 83-89 7. Neville Robbins On Modified R-regular Partitions 91-96 8. S. P. Arya Teacher training in India 97-105 9. M. A. Pathan Presidential Address - General 107-110 10. M. A. Pathan Lie Algebraic Analysis of Differential Equations and Special Functions 111-124 11. - Abstracts of Papers - 68th Annual Conference of IMS held at Shivaji University, Kolhapur, December 20-23, 2002 125-148 12. S. G. Deo Trigonometric like Operators in Banach Spaces 149-160 13. L. Radhakrishna The Taxonomy of Mathematics and Einstein 161-169 14. R. C. Srivastava Converging Shock in the Welfare of Mankind 171-186 15. Chandrasekhar Adiga Ramanujan's Continued Fractions and Their Evaluations 187-199 16. S. P. Arya and Neeru Jain (nee Singal) Fuzzy Somewhat Continuous functions 201-207 17. M. K. Singal The Indian Mathematical Society : An Overview 209-246 18. - News and Announcements 247-250