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arxiv: 1901.09820 · v1 · pith:4UEQDU4Mnew · submitted 2019-01-24 · 🧮 math.NT

Some extensions for Ramanujan's circular summation formula

classification 🧮 math.NT
keywords somecircularextensionsformulafunctionsjacobiramanujansummation
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In this paper, we give some extensions for Ramanujan's circular summation formula with the mixed products of two Jacobi's theta functions. As some applications, we also obtain many interesting identities of Jacobi's theta functions.

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