A generalization of the Voronin theorem

被引：13

作者：

Laurincikas, Antanas ^{[1
]}

Macaitiene, Renata ^{[2
,3
]}

Siauciunas, Darius ^{[2
,3
]}

机构：

[1] Vilnius Univ, Fac Math & Informat, Inst Math, Naugarduko Str 24, LT-03225 Vilnius, Lithuania

[2] Siauliai Univ, Res Inst, P Visinskio Str 25, LT-76351 Shiauliai, Lithuania

[3] Siauliai Univ, Dept Comp Sci, Vilniaus Str 141, LT-76353 Shiauliai, Lithuania

来源：

LITHUANIAN MATHEMATICAL JOURNAL | 2019年 / 59卷 / 02期

关键词：

Haar measure; limit theorem; Mergelyan theorem; Riemann zeta function; universality;

D O I：

10.1007/s10986-019-09418-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The classical Voronin universality theorem asserts that a wide class of analytic functions can be approximated by shifts of the Riemann zeta-function (s+i), . In the paper, we generalize this approximation for shifts (s+i phi()), where ?() has the monotonic positive derivative such that 1/?() = o() and phi(2)xmax<<t<<2(1/phi(t))<< T -> infinity .

引用

页码：156 / 168

页数：13

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