L-Series of Harmonic Maass Forms and a Summation Formula for Harmonic Lifts

Nikolaos Diamantis; Min Lee; Wissam Raji; Larry Rolen

doi:10.1093/imrn/rnac310

L-Series of Harmonic Maass Forms and a Summation Formula for Harmonic Lifts

Nikolaos Diamantis, Min Lee, Wissam Raji, Larry Rolen^*

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

3 Citations (Scopus)

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.

Original language	English
Article number	rnac310
Journal	International Mathematics Research Notices
Early online date	14 Nov 2022
DOIs	https://doi.org/10.1093/imrn/rnac310
Publication status	E-pub ahead of print - 14 Nov 2022

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title = "L-Series of Harmonic Maass Forms and a Summation Formula for Harmonic Lifts",

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.",

author = "Nikolaos Diamantis and Min Lee and Wissam Raji and Larry Rolen",

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AU - Diamantis, Nikolaos

AU - Lee, Min

AU - Raji, Wissam

AU - Rolen, Larry

PY - 2022/11/14

Y1 - 2022/11/14

N2 - 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.

AB - 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.

U2 - 10.1093/imrn/rnac310

DO - 10.1093/imrn/rnac310

M3 - Article (Academic Journal)

SN - 1073-7928

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

M1 - rnac310

ER -

L-Series of Harmonic Maass Forms and a Summation Formula for Harmonic Lifts

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