A Limit Theorem for Dirichlet L-Functions

被引：0

作者：

I. Belov

机构：

[1] Institute of Mathematics and Informatics,

来源：

Lithuanian Mathematical Journal | 2003年 / 43卷 / 1期

关键词：

Dirichlet ; -functions; limit theorem; weak convergence;

D O I：

10.1023/A:1022958920936

中图分类号：

学科分类号：

摘要：

We prove a limit theorem on the weak convergence of probability measures in the space of continuous functions for Dirichlet L-functions. The result generalizes a similar theorem for the Riemann zeta-function.

引用

页码：1 / 10

页数：9

共 50 条

[1] A LIMIT-THEOREM WITH WEIGHTS FOR QUADRATIC DIRICHLET L-FUNCTIONS
STANKUS, E
MATHEMATICAL NOTES, 1994, 55 (1-2) : 193 - 194
[2] On Selberg's Central Limit Theorem for Dirichlet L-functions
Hsu, Po-Han
Wong, Peng-Jie
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2020, 32 (03): : 685 - 710
[3] A converse theorem for Dirichlet L-functions
Kaczorowski, Jerzy
Molteni, Giuseppe
Perelli, Alberto
COMMENTARII MATHEMATICI HELVETICI, 2010, 85 (02) : 463 - 483
[4] A JOINT UNIVERSALITY THEOREM FOR DIRICHLET L-FUNCTIONS
BAGCHI, B
MATHEMATISCHE ZEITSCHRIFT, 1982, 181 (03) : 319 - 334
[5] Selberg's central limit theorem for dirichlet L-functions of q-aspect
Das, Madhuparna
arXiv, 2021,
[6] Hybrid joint universality theorem for Dirichlet L-functions
Pankowski, Lukasz
ACTA ARITHMETICA, 2010, 141 (01) : 59 - 72
[7] Central limit theorem for Artin L-functions
Cho, Peter J.
Kim, Henry H.
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2017, 13 (01) : 1 - 14
[8] Selberg’s central limit theorem for quadratic dirichlet L-functions over function fields
Pranendu Darbar
Allysa Lumley
Monatshefte für Mathematik, 2023, 201 : 1027 - 1058
[9] Selberg's central limit theorem for quadratic dirichlet L-functions over function fields
Darbar, Pranendu
Lumley, Allysa
MONATSHEFTE FUR MATHEMATIK, 2023, 201 (04): : 1027 - 1058
[10] On the Dirichlet L-functions
张文鹏
Acta Mathematica Sinica,English Series, 1991, (02) : 103 - 118

← 1 2 3 4 5 →