Non-vanishing theorems for prime twists of some modular L-functions
In this paper, we give some non-vanishing results on the central values of prime twists of modular L -functions by imaginary quadratic fields for specific elliptic modular forms. In particular, we show that the central values of prime twists of L -functions of some elliptic modular forms are always non-vanishing whenever the root number is positive.
Authors
- Masataka Chida (ORCID: https://orcid.org/0000-0002-0820-0424)
- Satoshi Wakatsuki (ORCID: https://orcid.org/0009-0004-9958-8787)
Institutions
- Kanazawa University (JP)
- Tokyo Denki University (JP)
Publication Details
- Journal
- Research in Number Theory
- Published
- 2026-06-16
- DOI
- https://doi.org/10.1007/s40993-026-00752-z
- Primary Topic
- Advanced Algebra and Geometry
- Type
- preprint
- Field-Weighted Citation Impact
- 0.00
Funders
- Japan Research Promotion Society for Cardiovascular Diseases
- Japan Society for the Promotion of Science