Analytic number theory

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The book includes several survey articles on prime numbers, divisor problems, and Diophantine equations, as well as research papers on various aspects of analytic number theory such as additive problems, Diophantine approximations and the theory of zeta and L-function. Audience: Researchers and graduate students interested in recent development of number theory.

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Title Statements

Full title :Analytic number theory / edited by Chaohua Jia, Kohji Matsumoto.

Summary

Edition Statements

Publication Date:©2002

Publication Statements

Publisher(s):Springer Science+Business Media B.V
Place of Publication:Dordrecht
Language:eng
Publication Date:©2002

Notes

Originally published by Kluwer Academic Publishers in 2002.

"Softcover reprint of the hardcover 1st edition 2002"--Title page verso

The Physical Object

Description:1 online resource (xv, 408 pages)

Edition Identifiers

ISBN:9781475736212, 1475736215
DOI:10.1007/978-1-4757-3621-2
oclc:ocn885570168
LC Classification:QA241
Dewey Decimal:512/.7

1 On analytic continuation of multiple L-functions and related zetafunctions -- 2 On the values of certain q-hypergeometric series II -- 3 The class number one problem for some non-normal sextic CM-fields -- 4 Ternary problems in additive prime number theory -- 5 A generalization of E. Lehmer's congruence and its applications -- 6 On Chen's theorem -- 7 On a twisted power mean of L(1,?) -- 8 On the pair correlation of the zeros of the Riemann zeta function -- 9 Discrepancy of some special sequences -- 10 Padé approximation to the logarithmic derivative of the Gauss hypergeometric function -- 11 The evaluation of the sum over arithmetic progressions for the coefficients of the Rankin-Selberg series II -- 12 Substitutions, atomic surfaces, and periodic beta expansions -- 13 The largest prime factor of integers in the short interval -- 14 A general divisor problem in Landau's framework -- 15 On inhomogeneous Diophantine approximation and the Borweins' algorithm, II -- 16 Asymptotic expansions of double gamma-functions and related remarks -- 17 A note on a certain average of L(1/2 + it,?) -- 18 On covering equivalence -- 19 Certain words, tilings, their non-periodicity, and substituti…