Zero-free regions for spectral averages of Hecke L -functions

Authors

Satadal Ganguly, Indian Statistical Institute, Kolkata
E. M. Sandeep, Indian Statistical Institute (North-East Centre)

Article Type

Research Article

Publication Title

International Journal of Number Theory

Abstract

We obtain an explicit zero-free region for a weighted sum of L-functions over the orthogonal basis of Hecke eigen cusp forms of a large integral weight for the full modular group. We also estimate the number of such forms whose L value does not vanish at a given point inside this zero-free region.

First Page

2151

Last Page

2162

DOI

https://10.1142/S1793042123501051

Publication Date

10-1-2023

Recommended Citation

Ganguly, Satadal and Sandeep, E. M., "Zero-free regions for spectral averages of Hecke L -functions" (2023). Journal Articles. 3560.
https://digitalcommons.isical.ac.in/journal-articles/3560