Theta function identities and q series

Published 10 Dec 2023 in math.NT, math-ph, math.MP, and math.RT | (2312.05844v2)

Abstract: We establish some functional identities of theta functions, an elementary proof of classical fourth-order identities, Landen transformations, and q series from the eigenvectors of the discrete Fourier transform. Also, we derive connection between Rogers-Ramanujan type identity and theta function identity.

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