A NOTE ON THE LARGE VALUES OF |?(l)(1+it)|

被引：1

作者：

Dong, Zikang ^{[1
]}

Wei, Bin ^{[2
]}

机构：

[1] Univ Paris Est Creteil, Lab Anal & Math Appl, 61 Ave Gen Gaulle, F-94010 Creteil, France

[2] Tianjin Univ, Tianjin 300072, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2023年 / 108卷 / 02期

关键词：

extreme values; Riemann zeta function; EXTREME VALUES;

D O I：

10.1017/S0004972722001605

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the large values of the derivatives of the Riemann zeta function zeta(s) on the 1-line. We give a larger lower bound for max(t is an element of[T,2T]) |zeta((l))(1 + it)|, which improves the previous result established by Yang ["Extreme values of derivatives of the Riemann zeta function', Mathematika 68 (2022), 486-510].

引用

页码：217 / 223

页数：7

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MATHEMATIKA, 2022, 68 (02) :486-510

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