Name: Number Theory
ISBN: 978-93-86279-02-6

Editors:

R. P. Bambah⁰,
V. C. Dumir¹,
R. J. Hans-Gill²

R. P. Bambah
1. Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India
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V. C. Dumir
1. Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India
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R. J. Hans-Gill
1. Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India
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Table of contents (23 chapters)

Front Matter

Pages i-vii

PDF
A Centennial History of the Prime Number Theorem
- Tom M. Apostol
Pages 1-14
Non-homogeneous Problems: Conjectures of Minkowski and Watson
- R. R. Bambah, V. C. Dumir, R. J. Hans-Gill
Pages 15-41
On the Oscillation Theorems of Pringsheim and Landau
- Paul T. Bateman, Harold G. Diamond
Pages 43-54
Modular Equations in Ramanujan’s Lost Notebook
- Bruce C. Berndt
Pages 55-74
The abc-conjecture
- Jerzy Browkin
Pages 75-105
On Values of Linear and Quadratic Forms at Integral Points
- S. G. Dani
Pages 107-119
Variants of the Second Borel-Cantelli Lemma and their Applications in Metric Number Theory
- Glyn Harman
Pages 121-140
Pythagorean Triples
- Edmund Hlawka
Pages 141-155
Integer Points in Plane Regions and Exponential Sums
- M. N. Huxley
Pages 157-166
Artin’s Conjecture for Polynomials Over Finite Fields
- Erik Jensen, M. Ram Murty
Pages 167-181
Continuous Homomorphisms as Arithmetical Functions, and Sets of Uniqueness
- I. Kátai
Pages 183-200
Hamburger’s Theorem on ζ(s) and the Abundance Principle for Dirichlet Series with Functional Equations
- Marvin I. Knopp
Pages 201-216
A Survey of Number Theory and Cryptography
- Neal Koblitz
Pages 217-239
Recent Developments in the Mean Square Theory of the Riemann Zeta and Other Zeta-Functions
- Kohji Matsumoto
Pages 241-286
Algebraic Curves Over Finite Fields with many Rational Points and their Applications
- Harald Niederreiter, Chaoping Xing
Pages 287-300
A Report on Artin’s Holomorphy Conjecture
- Dipendra Prasad, C. S. Yogananda
Pages 301-314
Siegel’s Main Theorem for Quadratic Forms
- S. Raghavan
Pages 315-324
Pfister’s Work on Sums of Squares
- A. R. Rajwade
Pages 325-349
Notes on the Prime Number Theorem-I
- K. Ramachandra
Pages 351-370

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)
eBook ISBN: 978-93-86279-02-6Published: 01 January 2000
Edition Number: 1
Number of Pages: 534
Topics: Mathematics, general
Industry Sectors: Engineering, IT & Software

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Number Theory

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Buy it now

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Table of contents (23 chapters)

Front Matter

A Centennial History of the Prime Number Theorem

Non-homogeneous Problems: Conjectures of Minkowski and Watson

On the Oscillation Theorems of Pringsheim and Landau

Modular Equations in Ramanujan’s Lost Notebook

The abc-conjecture

On Values of Linear and Quadratic Forms at Integral Points

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

Pythagorean Triples

Integer Points in Plane Regions and Exponential Sums

Artin’s Conjecture for Polynomials Over Finite Fields

Continuous Homomorphisms as Arithmetical Functions, and Sets of Uniqueness

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

A Survey of Number Theory and Cryptography

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

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

A Report on Artin’s Holomorphy Conjecture

Siegel’s Main Theorem for Quadratic Forms

Pfister’s Work on Sums of Squares

Notes on the Prime Number Theorem-I

Editors and Affiliations

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

Bibliographic Information

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Table of contents (23 chapters)

Front Matter

Editors and Affiliations

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

Bibliographic Information

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