Derivatives of $L$-series of weakly holomorphic cusp forms
Number Theory
2022-09-20 v1
Abstract
Based on the theory of -series associated with weakly holomorphic modular forms in \cite{DLRR}, we derive explicit formulas for central values of derivatives of -series as integrals with limits inside the upper half-plane. This has computational advantages, already in the case of classical holomorphic cusp forms and, in the last section, we discuss computational aspects and explicit examples.
Keywords
Cite
@article{arxiv.2209.09229,
title = {Derivatives of $L$-series of weakly holomorphic cusp forms},
author = {Nikolaos Diamantis and Fredrik Strömberg},
journal= {arXiv preprint arXiv:2209.09229},
year = {2022}
}