Theta function identities and q series

2023/12/10 by Masal, Hemant, Kendre, Subhash, Bhate, Hemant
#11F03 #11F27 #15A18 #33F05 #F.4 #FOS: Mathematics #FOS: Physical sciences #G.2 #Mathematical Physics (math-ph) #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2312.05844

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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