Optimal upper bound for the maximum of the k-th derivative of Hardy's function

被引：2

作者：

Blanc, Philippe ^{[1
]}

机构：

[1] Haute Ecole Ingn & Gest, CH-1401 Yverdon, Switzerland

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 154卷

关键词：

Riemann zeta function; Hardy's function;

D O I：

10.1016/j.jnt.2015.02.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an approximate functional equation for the derivatives of Hardy's Z-function, uniform with respect to the order of the derivatives, from which we deduce an optimal upper bound for the k-th derivative of Z. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：105 / 117

页数：13