Mean value estimate of a hybrid arithmetic function attached to Fourier coefficients of Hecke-Maass forms

DOI10.1007/s40879-023-00631-2OpenAlexW4367049731MaRDI QIDQ6040517

Guodong Hua

Publication date: 17 May 2023

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-023-00631-2

zbMATH Keywords

Hecke eigenvaluesymmetric power \(L\)-functionHecke-Maass form

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Cites Work

• On the Rankin-Selberg problem
• On sums of Fourier coefficients of cusp forms
• General L-functions
• The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
• La conjecture de Weil. I
• Cuspidality of symmetric powers with applications.
• Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
• Decoupling, exponential sums and the Riemann zeta function
• SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS
• Power sums of Hecke eigenvalues and application
• 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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