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Residue Theorem and Theta Function Identities

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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.

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Liu, ZG. Residue Theorem and Theta Function Identities. The Ramanujan Journal 5, 129–151 (2001). https://doi.org/10.1023/A:1011427622187

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