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Equidistribution of the eigenvalues of Hecke operators
- Choi, Dohoon;
- Lee, Min;
- Lee, Youngmin;
- Lim, Subong
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In this paper, we prove the equidistribution of the Hecke eigenvalues of Maass forms over an arbitrary number field at a fixed prime ideal, with respect to the Sato-Tate measure. As an application, we obtain that the proportion of Maass forms that do not satisfy the Ramanujan-Petersson conjecture at a fixed prime ideal is 0.
키워드
Arthur-Selberg trace formula; Hecke eigenvalues; Maass forms
- 제목
- Equidistribution of the eigenvalues of Hecke operators
- 저자
- Choi, Dohoon; Lee, Min; Lee, Youngmin; Lim, Subong
- 발행일
- 2025-08-21
- 유형
- Article; Early Access
- 권
- 298
- 호
- 9
- 페이지
- 3210 ~ 3246