A limit theorem for Dirichlet L-functions

被引：0
作者：
I. Belov
机构：
[1] Inst. of Mathematics and Informatics, LT-2021 Vilnius
来源：
Lithuanian Mathematical Journal | 2003年 / 43卷 / 1期
关键词：
Dirichlet L-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.
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页码：1 / 10
页数：9
相关论文
共 7 条
[1]  
Billingsley P., Convergence of Probability Measures, (1968)
[2]  
Davenport H., Multiplicative Number Theory, (1967)
[3]  
Laurincikas A., Limit Theorems for the Riemann Zeta-Function, (1996)
[4]  
Prachar K., Primzahlverteilung, (1957)
[5]  
Titchmarsh E., The Theory of the Riemann Zeta-Function, (1951)
[6]  
Belov I., On some estimates for Dirichlet L-functions, Analytic and Probabilistic Methods in Number Theory, Proc. of the Third Internat. Conf. in Honour of J. Kubilius, Palanga, Lithuania, 24-28 September 2001, pp. 11-19, (2002)
[7]  
Belov I., Laurincikas, On Limit Distribution of the Riemann Zeta-function in the Space of Continuous Functions
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