Fluctuations in the Distribution of Hecke Eigenvalues about the Sato–Tate Measure

DOI10.1093/imrn/rnx238zbMath1468.11101arXiv1705.04115OpenAlexW2963527955MaRDI QIDQ5243285

Neha Prabhu, Kaneenika Sinha

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.04115

zbMATH Keywords

holomorphic Hecke eigenformsprimitive Maass cusp forms

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (3)

Higher moments of the pair correlation function for Sato-Tate sequences ⋮ Statistics of Hecke eigenvalues for \(\mathrm{GL}(n)\) ⋮ Central limit theorems for sums of quadratic characters, Hecke eigenforms, and elliptic curves

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