Generalized $L$-functions related to the Riemann zeta function

Published 22 May 2023 in math.NT | (2305.13038v1)

Abstract: In this paper, we construct generalized $L$-functions associated to meromorphic modular forms of weight $\frac12$ for the theta group with a single simple pole in the fundamental domain. We then consider their behaviour towards $i\infty$ and relate this to the Riemann zeta function.

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