Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
2
ON DIVISIBILITY OF HECKE EIGENVALUES OF IKEDA LIFTS
Sanoli GUN, Sunil NAIK
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ジャーナル オープンアクセス

2026 年 80 巻 2 号 p. 205-221

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抄録
In this article, we estimate the density of the set of primes p such that the p-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.
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© 2026 by Faculty of Mathematics, Kyushu University

This article is licensed under a Creative Commons [Attribution 4.0 International] license.
https://creativecommons.org/licenses/by/4.0/
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