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This paper demonstrates equidistribution of Hecke eigenvalues in Maass forms, indicating a proportion of forms not satisfying the Ramanujan-Petersson conjecture is zero.
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.
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Choi et al. (2025) studied this question.
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