L-series of harmonic Maass forms and a summation formula for harmonic lifts
Number Theory
2024-02-20 v4
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.
Keywords
Cite
@article{arxiv.2107.12366,
title = {L-series of harmonic Maass forms and a summation formula for harmonic lifts},
author = {Nikolaos Diamantis and Min Lee and Wissam Raji and Larry Rolen},
journal= {arXiv preprint arXiv:2107.12366},
year = {2024}
}
Comments
minor typos corrected