The joint universality of Dirichlet L-functions and Lerch zeta-functions

被引:0
作者
A. Laurinčikas
R. Macaitienė
机构
[1] Vilnius University,
[2] Šiauliai University,undefined
来源
Siberian Mathematical Journal | 2014年 / 55卷
关键词
Lerch zeta-function; Dirichlet ; -function; limit theorem; space of analytic functions; Haar measure; universality;
D O I
暂无
中图分类号
学科分类号
摘要
We establish a Voronin-type joint universality theorem on approximating analytic functions by the translations of Dirichlet L-functions and Lerch zeta-functions.
引用
收藏
页码:645 / 657
页数:12
相关论文
共 21 条
[1]  
Lipschitz R(1857)Untersuchung einer aus vier Elementen gebildeten Reihe J. Reine Angew. 54 313-328
[2]  
Lerch M(1887)Note sur la fonction Acta Math. 11 19-24
[3]  
Lagarias J C(2012)The Lerch zeta-function. I. Zeta integrals Forum Math. 24 1-48
[4]  
Li W-Ch W(2012)The Lerch zeta-function. II. Analytic continuation Forum Math. 24 49-84
[5]  
Lagarias J C(1914)Zwei kleine Bemerkungen Tohôku Math. J. 6 42-43
[6]  
Li W-Ch W(1999)Universal families and hypercyclic operators Bull. Amer. Math. Soc. 36 345-381
[7]  
Pál J(1975)Theorem on the ‘universality’ of the Riemann zeta-function Math. USSR-Izv. 9 443-453
[8]  
Grosse-Erdmann K-G(1975)On the functional independence the Dirichlet L-functions Acta Arith. 27 493-503
[9]  
Voronin S M(2011)On joint universality of Dirichlet L-functions Chebyshevskiĭ Sb. 12 124-139
[10]  
Voronin S M(1982)A joint universality theorem for Dirichlet L-functions Math. Z., Bd 181 319-334