On divisibility of Hecke eigenvalues of Ikeda lifts
Number Theory
2025-10-09 v1
Abstract
In this article, we estimate the density of the set of primes such that the -th Hecke eigenvalue of an Ikeda lift is divisible by a fixed positive integer. One of the main ingredients involves the study of abelian subfields of fixed fields of the kernel of Galois representations attached to elliptic Hecke eigenforms. Further, we study the distribution of Fourier coefficients of elliptic Hecke eigenforms in arithmetic progressions.
Keywords
Cite
@article{arxiv.2510.07056,
title = {On divisibility of Hecke eigenvalues of Ikeda lifts},
author = {Sanoli Gun and Sunil Naik},
journal= {arXiv preprint arXiv:2510.07056},
year = {2025}
}
Comments
To appear in Kyushu Journal of Mathematics