JOINT UNIVERSALITY OF HURWITZ ZETA-FUNCTIONS

被引：3
|
作者：
Laurincikas, Antanas [1 ]
机构：
[1] Vilnius State Univ, Fac Math & Informat, LT-03225 Vilnius, Lithuania
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2012年 / 86卷 / 02期
关键词：
limit theorem; space of analytic functions; Hurwitz zeta-function; universality; THEOREM;
D O I：
10.1017/S0004972712000342
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is well known that Hurwitz zeta-functions with algebraically independent parameters over the field of rational numbers are universal in the sense that their shifts approximate simultaneously any collection of analytic functions. In this paper we introduce some classes of universal composite functions of a collection of Hurwitz zeta-functions.
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页码：232 / 243
页数：12
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