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Current Trends in Number Theory

  • Book
  • © 2002

Overview

Editors:
  1. Sukumar Das Adhikari

    1. Harish-Chandra Research Institute, Allahabad, India

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  2. Shashikant A. Katre

    1. Department of Mathematics, University of Pune, Pune, India

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  3. B. Ramakrishnan

    1. Harish-Chandra Research Institute, Allahabad, India

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. On the Average of the Sum-of-odd-divisors Function

    • S. D. Adhikari, G. Coppola
    Pages 1-15

  3. Rogers-Ramanujan Identities

    • A. K. Agarwal
    Pages 17-25

  4. On the Problem of Explicit Evaluation of the Number of Solutions of the Equation a1x 21 + ⋯ + a n x 2 n = bx1 ⋯ x n in a Finite Field

    • Ioulia Baoulina
    Pages 27-37

  5. An Introduction to Congruences Between Modular Forms

    • Eknath Ghate
    Pages 39-58

  6. The Cyclotomic Problem

    • S. A. Katre
    Pages 59-72

  7. The Local Root Number of Elliptic Curves

    • Shin-Ichi Kobayashi
    Pages 73-83

  8. On Skew-holomorphic Jacobi Forms

    • M. Manickam
    Pages 85-90

  9. The View-obstruction Problem

    • Anirban Mukhopadhyay
    Pages 91-100

  10. The Addition Law on Hyperelliptic Jacobians

    • V. Kumar Murty
    Pages 101-110

  11. Sieving Using Dirichlet Series

    • M. Ram Murty
    Pages 111-124

  12. Higher Circular ℓ-units of Anderson and Ihara

    • D. S. Nagaraj
    Pages 125-128

  13. On Automorphism Groups of Algebraic Curves

    • Shōichi Nakajima
    Pages 129-134

  14. Special Integral Bases with Restricted Coefficients for Extensions of Dedekind Domains

    • V. C. Nanda
    Pages 135-140

  15. Zeta Functions for Curves Defined over Finite Fields

    • Anuradha Narasimhan
    Pages 141-146

  16. Algebraic Elements in Group Rings

    • I. B. S. Passi
    Pages 147-158

  17. Reflection Representation and Theta Correspondence

    • Nilabh Sanat
    Pages 159-164

  18. Some Aspects of the Central Critical Value of Automorphic L-functions

    • J. Sengupta
    Pages 165-174

  19. Integral Points on the Circle X2 + Y2 = c

    • Parvati Shastri
    Pages 175-184

  20. An Equation of Goormaghtigh and Diophantine Approximations

    • T. N. Shorey
    Pages 185-197
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Editors and Affiliations

  • Harish-Chandra Research Institute, Allahabad, India

    Sukumar Das Adhikari, B. Ramakrishnan

  • Department of Mathematics, University of Pune, Pune, India

    Shashikant A. Katre

Bibliographic Information

  • Book Title: Current Trends in Number Theory

  • Editors: Sukumar Das Adhikari, Shashikant A. Katre, B. Ramakrishnan

  • DOI: https://doi.org/10.1007/978-93-86279-09-5

  • Publisher: Hindustan Book Agency Gurgaon

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Hindustan Book Agency (India) 2002

  • eBook ISBN: 978-93-86279-09-5Published: 01 January 2002

  • Edition Number: 1

  • Number of Pages: 280

  • Topics: Mathematics, general

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