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标题：Circular summation formulas for theta function ϑ 4 ( z τ )
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作者：Yun Zhou ; Qiu-Ming Luo
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：243
DOI：10.1186/1687-1847-2014-243
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we obtain the circular summation formulas of the theta function ϑ 4 ( z τ ) and show the corresponding alternating summations and inverse relations. Some applications are also considered. MSC:11F27, 33E05.
关键词：elliptic functions ; Ramanujan’s circular summation ; circular summation ; theta functions ; theta function identities