ON DIVISIBILITY OF HECKE EIGENVALUES OF IKEDA LIFTS
Abstract
In this article, we estimate the density of the set of primes p such that the pth 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.
Fields of Study & Subjects
Advanced Algebra and Geometry
Analytic Number Theory Research
Finite Group Theory Research
Publication details
- Journal / source
- Kyushu Journal of Mathematics
- Volume
- 80
- Issue
- 2
- Pages
- 205–221
- Publication date
- 1 January 2026
- Language
- EN