Work

Non-vanishing theorems for prime twists of some modular L-functions

Year: 2026

Type: article

Abstract: 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.

Source: Research in Number Theory

DOI: 10.1007/s40993-026-00752-z

Authors: Masataka Chida, Satoshi Wakatsuki

Institutions: Tokyo Denki University, Kanazawa University

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,590

Funders: Japan Research Promotion Society for Cardiovascular Diseases, Japan Society for the Promotion of Science