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

Authors

• Pramath Anamby, Indian Institute of Science Education and Research Pune
• Ritwik Pal, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Forum Mathematicum

Abstract

We show that a pair of newforms (f, g) can be uniquely determined by the product of the central L-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 L-functions, L (1/2, f × χ) L (1/2, g × χ ψ), where (f,g) is a pair of newforms. The average is taken over the primitive Dirichlet characters χ and ψ of distinct prime moduli.

First Page

1363

Last Page

1378

DOI

10.1515/forum-2023-0373

Publication Date

9-1-2025

Recommended Citation

Anamby, Pramath and Pal, Ritwik, "Determination of a pair of newforms from the product of their twisted central values" (2025). Journal Articles. 5307.
https://digitalcommons.isical.ac.in/journal-articles/5307