On general divisor problems involving Hecke eigenvalues

DOI10.1007/s10474-017-0763-xzbMath1413.11112OpenAlexW2761618630MaRDI QIDQ5894682

Dan Wang

Publication date: 12 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-017-0763-x

zbMATH Keywords

modular form\(L\)-functiondivisor functionHecke eigenvalue

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (3)

Notes on general divisor problems related to Maass cusp forms ⋮ Mean value estimates related to the Dedekind zeta-function ⋮ Average behaviour of higher moments of cusp form coefficients

Cites Work

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• Sums of coefficients of \(L\)-functions and applications
• Bounds for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions and \(\mathrm{GL}(3)\) \(L\)-functions
• On sums of Fourier coefficients of cusp forms
• Lectures on a method in the theory of exponential sums
• A mean value theorem for Dirichlet series and a general divisor problem
• On averages of Fourier coefficients of Maass cusp forms
• Functional equations with multiple gamma factors and the average order of arithmetical functions
• Decoupling, exponential sums and the Riemann zeta function
• The square mean of Dirichlet series associated with cusp forms
• THE TWELFTH POWER MOMENT OF THE RIEMANN-FUNCTION
• On general divisor problems involving Hecke eigenvalues

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