An Elementary Proof of Ramanujan’s Circular Summation Formula and Its Generalizations
نویسنده
چکیده
In this paper, we give 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, who used the theory of elliptic functions. In contrast to all other proofs, our proofs are elementary. An application of this summation formula is given.
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