An analogue of the Mellin transform for weakly holomorphic cusp forms and a converse theorem
Abstract We define an analogue of the classical Mellin transform for vector‐valued weakly holomorphic cusp forms for and prove a converse theorem for such forms in terms of the new transform. As applications we get converse theorems for scalar valued weakly holomorphic forms for as well as for primes .
Authors
- Árpád Tóth (ORCID: https://orcid.org/0000-0002-6734-6298)
- Yves Martin
- Özlem Imamoğlu
Institutions
- Eötvös Loránd University (HU)
- HUN-REN Alfréd Rényi Institute of Mathematics (HU)
- ETH Zurich (CH)
- University of Chile (CL)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2024-09-27
- DOI
- https://doi.org/10.1112/blms.13163
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Eötvös Loránd Tudományegyetem
- Nemzeti Kutatási Fejlesztési és Innovációs Hivatal
- National Research, Development and Innovation Office