Period functions associated to real-analytic modular forms

Diamantis, Nikolaos; Drewitt, Joshua

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), Article 21. 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: Jul 18, 2021
• 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