数論（会議録） Number Theory: Plowing and Starring through High Wave Forms - Proceedings of the 7th China-japan Seminar (Series on Number Theory and Its Applications)

Kanemitsu, Shigeru (EDT)/ Kaneko, Masanobu (EDT)/ Liu, Jianya (EDT)

World Scientific Publishing Co Pte Ltd（2015/04発売）

• 製本 Hardcover:ハードカバー版／ページ数 212 p.
• 言語 ENG
• 商品コード 9789814644921
• DDC分類 512.7

Full Description

Based on the successful 7th China-Japan seminar on number theory conducted in Kyushu University, this volume is a compilation of survey and semi-survey type of papers by the participants of the seminar. The topics covered range from traditional analytic number theory to elliptic curves and universality. This volume contains new developments in the field of number theory from recent years and it provides suitable problems for possible new research at a level which is not unattainable. Timely surveys will be beneficial to a new generation of researchers as a source of information and these provide a glimpse at the state-of-the-art affairs in the fields of their research interests.

Contents

On Modular Relations (T Arai, K Chakraborty and S Kanemitsu); Figurate Primes and Hilbert's 8th Problem (T-X Cai, Y Zhang and Z-G Shen); Statistical Distribution of Roots of a Polynomial Modulo Prime Powers (Y Kitaoka); A Survey on the Theory of Universality for Zeta and L-Functions (K Matsumoto); Complex Multiplication in the Sense of Abel (K Miyake); Problems on Combinatorial Properties of Primes (Z-W Sun);