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Current Trends in Number Theory
Edited by: S. D. Adhikari, Harish-Chandra Research Institute, Allahabad, India, S. A. Katre, University of Pune, India, and B. Ramakrishnan, Harish-Chandra Research Institute, Alahabad, India
A publication of Hindustan Book Agency.
Hindustan Book Agency
2002; 270 pp; hardcover
ISBN-10: 81-85931-33-X
ISBN-13: 978-81-85931-33-3
List Price: US$40
Member Price: US$32
Order Code: HIN/11
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The book gives a glimpse of current research in combinatorial, algebraic, and analytic aspects of number theory. The articles are refereed and expanded versions of talks given at the International Conference on Number Theory held at the Harish-Chandra Research Institute (Allahaba, India). Included also are some articles on arithmetic algebraic geometry.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

Readership

Graduate students and research mathematicians interested in number theory.

Table of Contents

  • S. D. Adhikari and G. Coppola -- On the average of the sum-of-odd-divisors function
  • A. K. Agarwal -- Rogers-Ramanujan identities
  • I. Baoulina -- On the problem of explicit evaluation of the number of solutions of the equation \(a_1x^2_1+\ldots+a_nx_n^2=bx_1\cdots x_n\) in a finite field
  • E. Ghate -- An introduction to congruences between modular forms
  • S. A. Katre -- The cyclotomic problem
  • S. Kobayashi -- The local root number of elliptic curves
  • M. Manickam -- On skew-holomorphic Jacobi forms
  • A. Mukhopadyay -- The view-obstruction problem
  • V. K. Murty -- The addition law on hyperelliptic Jacobians
  • M. R. Murty -- Sieving using Dirichlet series
  • D. S. Nagaraj -- Higher circular \(\ell\)-units of Anderson and Ihara
  • S. Nakajima -- On automorphism groups of algebraic curves
  • V. C. Nanda -- Special integral bases with restricted coefficients for extensions of Dedekind domains
  • A. Narasimhan -- Zeta functions for curves defined over finite fields
  • I. B. S. Passi -- Algebraic elements in group rings
  • N. Sanat -- Reflection representation and theta correspondence
  • J. Sengupta -- Some aspects of the central critical value of automorphic \(L\)-functions
  • P. Shastri -- Integral points on the circle \(X^2+Y^2=c\)
  • T. N. Shorey -- An equation of Goormaghtigh and diophantine approximations
  • R. Tandon -- Base change, distinguishedness and a theorem of Saito
  • D. S. Thakur -- Elliptic curves in function field arithmetic
  • R. Thangadurai -- On certain zero-sum problems in finite Abelian groups
  • T. C. Vasudevan -- Modular forms and functional equations
  • T. N. Venkataramana -- Lefschetz properties of subvarieties of Shimura varieties
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