Number Theoretic Methods,9781402010804

Number Theoretic Methods

by ; ;
ISBN13: 9781402010804
ISBN10: 140201080X
Format: Hardcover
Pub. Date: 2003-01-01
Publisher(s): Kluwer Academic Pub
List Price: $169.99

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Summary

This book contains various topics in number theory and provides the reader with an overvierw of current and future researches in the field. Audience: Researchers and graduate students in number theory, enthusiastic amateurs and undergraduate students who have some basic knowledge in mathematics.

Table of Contents

Preface vii
A limiting form of the q--Dixon 4φ3 summation and related partition identities
1(14)
Krishnaswami Alladi
Alexander Berkovich
Arithmetical properties of solutions of linear second order q-difference equations
15(16)
Masaaki Amou
Tapani Matala-aho
Ramanujan's Contributions to Eisenstein Series, Especially in His Lost Notebook
31(24)
Bruce C. Berndt
Ae Ja Yee
New Applications of a Result of Galochkin on Linear Independence
55(12)
Peter Bundschuh
Partitions modulo prime powers and binomial coefficients
67(6)
Tianxin Cai
Infinite sums, diophantine equations and Fermat's last theorem
73(24)
Henri Darmon
Claude Levesque
On the nature of the ``explicit formulas'' in analytic number theory --- a simple example
97(22)
Christopher Deninger
Product representations by rationals
119(32)
P.D.T.A. Elliott
On the distribution of αP modulo 1
151(8)
Chaohua Jia
Ramanujan's formula and modular forms
159(54)
Shigeru Kanemitsu
Yoshio Tanigawa
Masami Yoshimoto
Waldspurger's formula and central critical values of L-functions of newforms in weight aspect
213(6)
Winfried Kohnen
Jyoti Sengupta
Primitive roots: a survey
219(14)
Shuguang Li
Carl Pomerance
Zeta-Functions Defined by Two Polynomials
233(30)
Kohji Matsumoto
Lin Weng
Some Aspects on Interactions between Algebraic Number Theory and Analytic Number Theory
263(38)
Katsuya Miyake
On G-functions and Pade approximations
301(10)
Makota Nagata
A penultimate step toward cubic theta-Weyl sums
311(28)
Yoshinobu Nakai
Some Results in view of Nevanlinna Theory
339(12)
Junjiro Noguchi
A Historical Comment about the GVT in Short Interval
351(18)
Pan Chengbiao
Convexity and Intersection of Random Spaces
369(12)
Mariya Shcherbina
Brunello Tirozzi
Generalized hypergeometric series and the symmetries of 3-j and 6-j coefficients
381(24)
K. Srinivasa Rao
H.D. Doebner
P. Nattermann
Stability and New Non-Abelian Zeta Functions
405(16)
Lin Weng
A hybrid mean value of L-functions and general quadratic Gauss sums
421(14)
Zhang Wenpeng
index 435

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