Period-like polynomials for L-series associated with half-integral weight cusp forms

Branch, James; Diamantis, Nikolaos; Raji, Wissam; Rolen, Larry

Abstract

Given the L-series of a half-integral weight cusp form, we construct polynomials behaving similarly to the classical period polynomial of an integral weight cusp form. We also define a lift of half-integral weight cusp forms to integral weight cusp forms that are compatible with the L-series of the respective forms.

Citation

Branch, J., Diamantis, N., Raji, W., & Rolen, L. (2024). Period-like polynomials for L-series associated with half-integral weight cusp forms. Research in the Mathematical Sciences, 11(3), Article 44. https://doi.org/10.1007/s40687-024-00455-w

• Journal Article Type: Article
• Acceptance Date: May 15, 2024
• Online Publication Date: Jun 15, 2024
• Publication Date: Jun 15, 2024
• Deposit Date: Jun 7, 2024
• Publicly Available Date: Jun 7, 2024
• Journal: Research in the Mathematical Sciences
• Electronic ISSN: 2197-9847
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 11
• Issue: 3
• Article Number: 44
• DOI: https://doi.org/10.1007/s40687-024-00455-w
• Public URL: https://nottingham-repository.worktribe.com/output/35734276
• Publisher URL: https://link.springer.com/article/10.1007/s40687-024-00455-w
• Additional Information: Received: 31 October 2023; Accepted: 15 May 2024; First Online: 15 June 2024