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

Shigeki Akiyama (auth.), Kenji Nagasaka, Etienne Fouvry (eds.)3540527877, 9783540527879, 0387527877

Contents: S. Akiyama: On a certain sum of traces of Hecke operators.- J.-P. Allouche, P. Flajolet, M. Mendès France: Algebraically independent formal power series: A language theory interpretation.- J.-P. Allouche, J. Shallit: Sums of digits and the Hurwitz zeta function.- D. Bertrand: Transcendental methods in arithmetic geometry.- G. Christol:Globally bounded solutions of differential equations.- E. Fouvry: Nombres presque premiers dans les petits intervalles.- E. Fouvry, G. Tenenbaum: Diviseurs de Titchmarsh des entiers sans grand facteur premier.- A. Fujii: Uniform distributions of the zeros of the Riemann zeta function and the mean value theorems of Dirichlet L-functions (II).- K. Goto, T. Kano: Some conditions on uniform distribution of monotone sequences.- T. Harase: Algebraic dependence of formal power series.- G. Henniart: Une conséquence de la théorie du changement de base pour GL(n).- K. Horie, M. Horie: On the exponents of ideal class groups of CM-fields.- M. Ishibashi, S. Kanemitsu: Some asymptotic formulas of Ramanujan.- N. Kurokawa: Analyticity of Dirichlet series over prime powers.- K. Matsumoto: Value-distribution of zeta-functions.- S. Mizumoto: Integrality of critical values of triple product L-functions.- T. Oda: Multiple Hecke series for class-1 Whittaker functions on GL(n) over p-adic fields.- Programme of the Symposium.

---

Table of contents :
On a certain sum of traces of Hecke operators….Pages 1-10
Algebraically independent formal power series: A language theory interpretation….Pages 11-18
Sums of digits and the Hurwitz zeta function….Pages 19-30
Transcendental methods in arithmetic geometry….Pages 31-44
Globally bounded solutions of differential equations….Pages 45-64
Nombres presque premiers dans les petits intervalles….Pages 65-85
Diviseurs de Titchmarsh des entiers sans grand facteur premier….Pages 86-102
Uniform distribution of the zeros of the riemann zeta function and the mean value theorems of dirichlet L-functions (II)….Pages 103-125
Some conditions on uniform distribution of monotone sequences….Pages 126-132
Algebraic dependence of formal power series….Pages 133-137
Une consequence de la theorie du changement de base pour GL(n)….Pages 138-142
On the exponents of ideal class groups of CM-fields….Pages 143-148
Some asymptotic formulas of Ramanujan….Pages 149-167
Analyticity of dirichlet series over prime powers….Pages 168-177
Value-distribution of zeta-functions….Pages 178-187
Integrality of critical values of triple product L -functions….Pages 188-195
Multiple Hecke series for class-1 Whittaker functions on GL ( n ) over p -adic fields….Pages 196-214