Analytic Number Theory

by Jia, Chaohua; Matsumoto, Kohji

• ISBN13: 9781402005459
• ISBN10: 1402005458
• Format: Hardcover
• Copyright: 2002-01-01
• Publisher: Kluwer Academic Pub

Summary

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.

Table of Contents

Preface	ix
On analytic continuation of multiple L-functions and related zeta-functions	1	(16)
Shigeki Akiyama
Hideaki Ishikawa
On the values of certain q-hypergeometric series II	17	(10)
Masaaki Amou
Masanori Katsurada
Keijo Vaananen
The class number one problem for some non-normal sextic CM-fields	27	(12)
Gerard Boutteaux
Stephane Louboutin
Ternary problems in additive prime number theory	39	(54)
Jorg Brudern
Koichi Kawada
A generalization of E. Lehmer's congruence and its applications	93	(6)
Tianxin Cai
On Chen's theorem	99	(22)
Cai Yingchun
LU Minggao
On a twisted power mean of L(1,X)	121	(6)
Shigeki Egami
On the pair correlation of the zeros of the Riemann zeta function	127	(16)
Akio Fujii
Discrepancy of some special sequences	143	(14)
Kazuo Goto
Yukio Ohkubo
Pade approximation to the logarithmic derivative of the Gauss hypergeometric function	157	(16)
Masayoshi Hata
Marc Huttner
The evaluation of the sum over arithmetic progressions for the co-efficients of the Rankin-Selberg series II	173	(10)
Yumiko Ichihara
Substitutions, atomic surfaces, and periodic beta expansions	183	(12)
Shunji Ito
Yuki Sano
The largest prime factor of integers in the short interval	195	(10)
Chaohua Jia
A general divisor problem in Landau's framework	205	(18)
S. Kanemitsu
A. Sankaranarayanan
On inhomogeneous Diophantine approximation and the Borweins' algorithm, II	223	(20)
Takao Komatsu
Asymptotic expansions of double gamma-functions and related remarks	243	(26)
Kohji Matsumoto
A note on a certain average of L(1/2 + it, X)	269	(8)
Leo Murata
On covering equivalence	277	(26)
Zhi-Wei Sun
Certain words, tilings, their non-periodicity, and substitutions of high dimension	303	(46)
Jun-ichi Tamura
Determination of all Q-rational CM-points in moduli spaces of polarized abelian surfaces	349	(10)
Atsuki Umegaki
On families of cubic Thue equations	359	(20)
Isao Wakabayashi
Two examples of zeta-regularization	379	(16)
Masami Yoshimoto
A hybrid mean value formula of Dedekind sums and Hurwitz zeta-functions	395
Zhang Wenpeng