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Residue Theorem and Theta Function Identities
Authors:Liu  Zhi-Guo
Institution:(1) Department of Mathematics, Nanjing Institute of Meteorology, Nanjing, 210044;(2) Xinxiang Education College, Xinxiang, Henan, 453000, People's Republic of China
Abstract:In this paper we will use the residue theorem of elliptic functions to prove some theta function identities of Ramanujan. We also derive some new identities by this method.
Keywords:residue theorem  elliptic functions  theta function identities
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