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Period functions associated to real-analytic modular forms

Diamantis, Nikolaos; Drewitt, Joshua

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Authors

Joshua Drewitt



Abstract

We define L-functions for the class of real-analytic modular forms recently introduced by F. Brown. We establish their main properties and construct the analogue of period polynomial in cases of special interest, including those of modular iterated integrals of length one.

Citation

Diamantis, N., & Drewitt, J. (2020). Period functions associated to real-analytic modular forms. Research in the Mathematical Sciences, 7(3), https://doi.org/10.1007/s40687-020-00221-8

Journal Article Type Article
Acceptance Date Jul 4, 2020
Online Publication Date Jul 17, 2020
Publication Date 2020-09
Deposit Date Jul 4, 2020
Publicly Available Date Mar 28, 2024
Journal Research in the Mathematical Sciences
Electronic ISSN 2197-9847
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 7
Issue 3
Article Number 21
DOI https://doi.org/10.1007/s40687-020-00221-8
Public URL https://nottingham-repository.worktribe.com/output/4751057
Publisher URL https://link.springer.com/article/10.1007/s40687-020-00221-8

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