Central limit theorem for Hecke eigenvalues

Henry H. Kim; Satoshi Wakatsuki; Takuya Yamauchi

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arXiv · 2501.12704

Central limit theorem for Hecke eigenvalues

Henry H. Kim·Satoshi Wakatsuki·Takuya Yamauchi

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Abstract

In this paper, we obtain the central limit theorem of Hecke eigenvalues in very general setting of split simple algebraic groups over $\mathbb{Q}$, using irreducible characters of compact Lie groups.

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Henry H. Kim, Satoshi Wakatsuki, Takuya Yamauchi. 2025-01-22. Central limit theorem for Hecke eigenvalues. https://arxiv.org/abs/2501.12704

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