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Analytic Number Theory

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ISBN-10: 1402005458

ISBN-13: 9781402005459

Edition: 2002

Authors: Chaohua Jia, Kohji Matsumoto

List price: $169.99
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Description:

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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Book details

List price: $169.99
Copyright year: 2002
Publisher: Springer
Publication date: 3/31/2002
Binding: Hardcover
Pages: 408
Size: 6.50" wide x 9.50" long x 1.25" tall
Weight: 1.738

Preface
On analytic continuation of multiple L-functions and related zeta-functions
On the values of certain q-hypergeometric series II
The class number one problem for some non-normal sextic CM-fields
Ternary problems in additive prime number theory
A generalization of E. Lehmer's congruence and its applications
On Chen's theorem
On a twisted power mean of L(1, x)
On the pair correlation of the zeros of the Riemann zeta function
Discrepancy of some special sequences
Pade approximation to the logarithmic derivative of the Gauss hypergeometric function
The evaluation of the sum over arithmetic progressions for the co-efficients of the Rankin-Selberg series II
Substitutions, atomic surfaces, and periodic beta expansions
The largest prime factor of integers in the short interval
A general divisor problem in Landau's framework
On inhomogeneous Diophantine approximation and the Borweins' algorithm, II
Asymptotic expansions of double gamma-functions and related remarks
A note on a certain average of L(1/2 + it, x)
On covering equivalence
Certain words, tilings, their non-periodicity, and substitutions of high dimension
Determination of all Q-rational CM-points in moduli spaces of polarized abelian surfaces
On families of cubic Thue equations
Two examples of zeta-regularization
A hybrid mean value formula of Dedekind sums and Hurwitz zeta-functions