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

Research in Number Theory 2026 Open access

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Authors: Masataka Chida, Satoshi Wakatsuki
DOI: 10.1007/s40993-026-00752-z
Cited by: 0
References: 29

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.

Fields of Study & Subjects

Advanced Algebra and Geometry Algebraic Geometry and Number Theory Analytic Number Theory Research

Publication details

Journal / source
Research in Number Theory
Publisher
Springer Science and Business Media LLC
Volume
12
Issue
3
Publication date
16 June 2026
Language
EN