A set of identities for a theta function at unit argument

被引：6
|
作者：
Coffey, MW [1 ]
机构：
[1] Colorado Sch Mines, Dept Phys, Golden, CO 80401 USA
来源：
PHYSICS LETTERS A | 2002年 / 300卷 / 4-5期
关键词：
theta function; functional equation; Riemann zeta function; Riemann xi function; jost function; inverse scattering theory;
D O I：
10.1016/S0375-9601(02)00740-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
An infinite set of identities relating derivatives of a theta function at unit argument is obtained explicitly. Our result holds for arbitrary order and shows that the odd order sequence is independent. This sequence of results has application in the theory of the Riemann zeta function. (C) 2002 Elsevier Science B.V. All rights reserved.
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页码：367 / 369
页数：3
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