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L-series of harmonic Maass forms and a summation formula for harmonic lifts
Published 26 Jul 2021 in math.NT | (2107.12366v4)
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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