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Showing 1 to 1 of 1 for “"Circular summation formula"”.
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Identities involving theta functions and analogues of theta functions
… a completely elementary proof of Ramanujan's circular summation formula of theta functions and its generalizations given by S. H. Chan and Z. -G. Liu, and J. M. Zhu, who used the theory of elliptic functions. In contrast to all other proofs, our proofs are elementary. An application of this …