Analytic Number Theory: Proceedings of the Japanese-French Symposium Held in Tokyo, Japan, October 10-13, 1988

ISBN-13: 9783540527879 / Angielski / Miękka / 1990 / 226 str.

Kenji Nagasaka; Etienne Fouvry

Opis

The proceedings of a Japanese-French symposium held in Tokyo in October 1988, this volume provides an assessment of current thinking on analytic number theory. This book is part of the "Lecture Notes in Mathematics" series.

Spis treści

On a certain sum of traces of Hecke operators.- Algebraically independent formal power series: A language theory interpretation.- Sums of digits and the Hurwitz zeta function.- Transcendental methods in arithmetic geometry.- Globally bounded solutions of differential equations.- Nombres presque premiers dans les petits intervalles.- Diviseurs de Titchmarsh des entiers sans grand facteur premier.- Uniform distribution of the zeros of the riemann zeta function and the mean value theorems of dirichlet L-functions (II).- Some conditions on uniform distribution of monotone sequences.- Algebraic dependence of formal power series.- Une consequence de la theorie du changement de base pour GL(n).- On the exponents of ideal class groups of CM-fields.- Some asymptotic formulas of Ramanujan.- Analyticity of dirichlet series over prime powers.- Value-distribution of zeta-functions.- Integrality of critical values of triple product L-functions.- Multiple Hecke series for class-1 Whittaker functions on GL(n) over p-adic fields.