A theta function identity and its applications

被引：0
|
作者：
Bing He
机构：
[1] East China Normal University,Shanghai Key Laboratory of PMMP, Department of Mathematics
来源：
The Ramanujan Journal | 2015年 / 38卷
关键词：
Theta function; Circular summation; Trigonometric sum identity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Liu (Adv Math 195:1–23, 2005) derived a theta function identity. In this paper, we will give an equivalent form of Liu’s identity, from which some nontrivial identities on circular summation of theta functions are deduced. Using these identities and the method of asymptotic analysis, we also derive some nontrivial finite trigonometric sum identities.
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页码：423 / 433
页数：10
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