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
收藏
页码：105 / 117
页数：13
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