EFFECTIVE UNIFORM APPROXIMATION BY L-FUNCTIONS IN THE SELBERG CLASS

被引:1
作者
Endo, Kenta [1 ]
机构
[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya 4648602, Japan
关键词
Selberg class; value; -distribution; universality theorem; ZETA; UNIVERSALITY;
D O I
10.7169/facm/2026
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Recently, Garunkstis, Laurincikas, Matsumoto, J. & R. Steuding showed an effective universality-type theorem for the Riemann zeta-function by using an effective multi-dimensional denseness result of Voronin. We will generalize Voronin's effective result and their theorem to the elements of the Selberg class satisfying some conditions.
引用
收藏
页码:59 / 99
页数:41
相关论文
共 26 条
[1]  
[Anonymous], 1985, The Riemann Zeta-Function
[2]  
Arakawa T, 2014, SPRINGER MONOGR MATH, P1, DOI 10.1007/978-4-431-54919-2
[3]   On the zeros of generalized Hurwitz zeta functions [J].
Chatterjee, T. ;
Gun, S. .
JOURNAL OF NUMBER THEORY, 2014, 145 :352-361
[4]  
Garunkstis R., 2003, FIZ MAT FAK MOKSL SE, V6, P29
[5]  
Garunkstis R., 2003, BONNER MATH SCHRIFTE
[6]   EFFECTIVE UNIFORM APPROXIMATION BY THE RIEMANN ZETA-FUNCTION [J].
Garunkstis, Ramunas ;
Laurincikas, Antanas ;
Matsumoto, Kohji ;
Steuding, Joern ;
Steuding, Rasa .
PUBLICACIONS MATEMATIQUES, 2010, 54 (01) :209-219
[7]   ON THE DISTRIBUTION OF THE VALUES OF RIEMANNS ZETA-FUNCTION [J].
GOOD, A .
ACTA ARITHMETICA, 1981, 38 (04) :347-388
[8]  
Karatsuba AA., 1992, The Riemann zeta-function, DOI [10.1515/9783110886146, DOI 10.1515/9783110886146]
[9]   An effective universality theorem for the Riemann zeta function [J].
Lamzouri, Youness ;
Lester, Stephen ;
Radziwill, Maksym .
COMMENTARII MATHEMATICI HELVETICI, 2018, 93 (04) :709-736
[10]   The universality of zeta-functions attached to certain cusp forms [J].
Laurincikas, A ;
Matsumoto, K .
ACTA ARITHMETICA, 2001, 98 (04) :345-359