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

2023/10/30 by Chida, Masataka, Wakatsuki, Satoshi
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2310.19496

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.

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