New Aspects of Universality of Hurwitz Zeta-Functions

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2023-01-23 DOI:10.1007/s10476-023-0188-4

A. Laurinčikas

引用次数: 0

Abstract

We construct an absolutely convergent Dirichlet series connected to the classical Hurwitz zeta-function. The shifts of this function approximate analytic functions defined in the right-hand side of the critical strip.

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Hurwitz-Zeta函数普遍性的新方面

我们构造了一个与经典Hurwitz zeta函数相连的绝对收敛的Dirichlet级数。该函数的位移近似于临界带右侧定义的解析函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.