Determination of a pair of newforms from the product of their twisted central values

Article Type

Research Article

Publication Title

Forum Mathematicum

Abstract

We show that a pair of newforms (f, g) (f,g) can be uniquely determined by the product of the central-values of their twists. To achieve our goal, we prove an asymptotic formula for the average of the product of the central values of two twisted -functions, L (1/2,f×χ) L (1/2,g×χψ), where (f, g) (f,g) is a pair of newforms. The average is taken over the primitive Dirichlet characters χ and ψ of distinct prime moduli.

DOI

10.1515/forum-2023-0373

Publication Date

1-1-2024

Comments

Open Access; Green Open Access

Link to Full Text

Share

COinS