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arXiv · 2107.12366

L-series of harmonic Maass forms and a summation formula for harmonic lifts

Nikolaos Diamantis·Min Lee·Wissam Raji·Larry Rolen
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Abstract

We introduce an L-series associated with harmonic Maass forms and prove their functional equations. We establish converse theorems for these L-series and, as an application, we formulate and prove a summation formula for the holomorphic part of a harmonic lift of a given cusp form.

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Nikolaos Diamantis, Min Lee, Wissam Raji, Larry Rolen. 2021-07-26. L-series of harmonic Maass forms and a summation formula for harmonic lifts. https://doi.org/10.1093/imrn%2Frnac310

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