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An alternate circular summation formula of theta functions and its applications (2106.14034v1)
Published 26 Jun 2021 in math.CO
Abstract: We prove a general alternate circular summation formula of theta functions, which implies a great deal of theta-function identities. In particular, we recover several identities in Ramanujan's Notebook from this identity. We also obtain two formulaes for $(q;q)_\infty{2n}$.
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