On special values at integers of L-functions of Jacobi theta products of weight 3

2020/03/23 by Ito, Ryojun
#11F27 #11F67 #33C20 #33C99 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2003.10174

Abstract

In this paper, we consider L-functions of modular forms of weight 3, which are products of the Jacobi theta series, and express their special values at s=3, 4 in terms of special values of Kampé de Fériet hypergeometric functions. Moreover, via L-values, we give some relations between special values of Kampé de Fériet hypergeometric functions and generalized hypergeometric functions.

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• L-values of certain weight 3 Modular Forms and Transformations of Hypergeometric Series