On the asymptotic distribution of Fourier coefficients of cusp forms

DOI10.1007/s00574-023-00335-xOpenAlexW4360965444MaRDI QIDQ6042637

Huafeng Liu

Publication date: 3 May 2023

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-023-00335-x

zbMATH Keywords

varianceFourier coefficientscusp forms

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)

Cites Work

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• Decoupling, exponential sums and the Riemann zeta function
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• Integral power sums of Hecke eigenvalues
• Power sums of Hecke eigenvalues and application
• Average behavior of Fourier coefficients of cusp forms
• The square mean of Dirichlet series associated with cusp forms
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂

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