Reduction Formulae for Products of Theta Functions

被引：1
|
作者：
Walker, P. L. [1 ,2 ,3 ]
机构：
[1] Univ Lancaster, Lancaster LA1 4YW, England
[2] Amer Univ Sharjah, Sharjah, U Arab Emirates
[3] Univ Washington, Seattle, WA 98195 USA
来源：
JOURNAL OF RESEARCH OF THE NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY | 2012年 / 117卷
关键词：
Jacobian theta functions; especially products; normalizing factors;
D O I：
10.6028/jres.117.017
中图分类号：
TH7 [仪器、仪表];
学科分类号：
0804 ; 080401 ; 081102 ;
摘要：
In four cases it is already known that the product of two distinct Jacobian theta functions having the same variable z and the same nome q is a multiple of a single Jacobian theta function, with the multiple independent of z. The main purpose of the present note is to show that this property also applies in the remaining two cases.
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页码：297 / 303
页数：7
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