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Number Theory

  • Book
  • © 2000

Overview

Editors:
  1. R. P. Bambah

    1. Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India

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  2. V. C. Dumir

    1. Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India

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  3. R. J. Hans-Gill

    1. Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India

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Table of contents (23 chapters)

  1. Front Matter

    Pages i-vii
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  2. A Centennial History of the Prime Number Theorem

    • Tom M. Apostol
    Pages 1-14

  3. Non-homogeneous Problems: Conjectures of Minkowski and Watson

    • R. R. Bambah, V. C. Dumir, R. J. Hans-Gill
    Pages 15-41

  4. On the Oscillation Theorems of Pringsheim and Landau

    • Paul T. Bateman, Harold G. Diamond
    Pages 43-54

  5. Modular Equations in Ramanujan’s Lost Notebook

    • Bruce C. Berndt
    Pages 55-74

  6. The abc-conjecture

    • Jerzy Browkin
    Pages 75-105

  7. On Values of Linear and Quadratic Forms at Integral Points

    • S. G. Dani
    Pages 107-119

  8. Variants of the Second Borel-Cantelli Lemma and their Applications in Metric Number Theory

    • Glyn Harman
    Pages 121-140

  9. Pythagorean Triples

    • Edmund Hlawka
    Pages 141-155

  10. Integer Points in Plane Regions and Exponential Sums

    • M. N. Huxley
    Pages 157-166

  11. Artin’s Conjecture for Polynomials Over Finite Fields

    • Erik Jensen, M. Ram Murty
    Pages 167-181

  12. Continuous Homomorphisms as Arithmetical Functions, and Sets of Uniqueness

    • I. Kátai
    Pages 183-200

  13. Hamburger’s Theorem on ζ(s) and the Abundance Principle for Dirichlet Series with Functional Equations

    • Marvin I. Knopp
    Pages 201-216

  14. A Survey of Number Theory and Cryptography

    • Neal Koblitz
    Pages 217-239

  15. Recent Developments in the Mean Square Theory of the Riemann Zeta and Other Zeta-Functions

    • Kohji Matsumoto
    Pages 241-286

  16. Algebraic Curves Over Finite Fields with many Rational Points and their Applications

    • Harald Niederreiter, Chaoping Xing
    Pages 287-300

  17. A Report on Artin’s Holomorphy Conjecture

    • Dipendra Prasad, C. S. Yogananda
    Pages 301-314

  18. Siegel’s Main Theorem for Quadratic Forms

    • S. Raghavan
    Pages 315-324

  19. Pfister’s Work on Sums of Squares

    • A. R. Rajwade
    Pages 325-349

  20. Notes on the Prime Number Theorem-I

    • K. Ramachandra
    Pages 351-370
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Editors and Affiliations

  • Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India

    R. P. Bambah, V. C. Dumir, R. J. Hans-Gill

Bibliographic Information

  • Book Title: Number Theory

  • Editors: R. P. Bambah, V. C. Dumir, R. J. Hans-Gill

  • DOI: https://doi.org/10.1007/978-93-86279-02-6

  • Publisher: Hindustan Book Agency Gurgaon

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

  • Copyright Information: Hindustan Book Agency 2000

  • eBook ISBN: 978-93-86279-02-6Published: 01 January 2000

  • Edition Number: 1

  • Number of Pages: 534

  • Topics: Mathematics, general

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