An alternate circular summation formula of theta functions and its applications

Published 26 Jun 2021 in math.CO | (2106.14034v1)

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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Authors (1)

Jun-Ming Zhu

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