Papers › Derivatives of L-series of weakly holomorphic cusp forms

Derivatives of L-series of weakly holomorphic cusp forms

19 Sep 2022arXiv:2209.09229links table onlyarchive 2025-07-28

Nikolaos Diamantis, Fredrik Strömberg

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Based on the theory of L-series associated with weakly holomorphic modular forms in \cite{DLRR}, we derive explicit formulas for central values of derivatives of L-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.

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