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Number theory

Author: R P Bambah; V C Dumir; R J Hans-Gill
Publisher: Basel ; Boston : Birkhäuser Verlag, 2000.
Series: Trends in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The Indian National Science Academy on the occasion ofthe Golden Jubilee Celebration (Fifty years of India's Independence) decided to publish a number of monographs on the selected fields. The editorial board of INS A invited us to prepare a special monograph in Number Theory. In reponse to this assignment, we invited several eminent Number Theorists to contribute expository/research articles for this monograph on  Read more...
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Genre/Form: Electronic books
Aufsatzsammlung
Additional Physical Format: Print version:
Number theory.
Basel ; Boston : Birkhäuser Verlag, 2000
(DLC) 00021717
(OCoLC)43311841
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: R P Bambah; V C Dumir; R J Hans-Gill
ISBN: 9783034870238 303487023X
OCLC Number: 681922468
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (vi, 527 pages) : illustrations.
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: 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? (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 --
Sums of Squares: An Elementary Method --
Solution of the Basic Problems of Discrete Geometry on the Plane --
Exponential Diophantine Equations Involving Products of Consecutive Integers and Related Equations --
Algebraic Independence of Transcendental Numbers: A Survey.
Series Title: Trends in mathematics.
Responsibility: R.P. Bambah, V.C. Dumir, R.J. Hans-Gill, editors.

Abstract:

The Indian National Science Academy on the occasion ofthe Golden Jubilee Celebration (Fifty years of India's Independence) decided to publish a number of monographs on the selected fields. In reponse  Read more...

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