The average of the exponential sums related to cusp forms

DOI10.1142/s1793042123500963OpenAlexW4363672504MaRDI QIDQ6133832

Fei Hou

Publication date: 21 August 2023

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042123500963

zbMATH Keywords

exponential sumsautomorphic formstrace formulaFourier coefficientsholomorphic cusp forms

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Cites Work

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• On exponential sums involving Fourier coefficients of cusp forms
• On exponential sums involving the Ramanujan function
• Bounds for automorphic \(L\)-functions
• Bounds for automorphic \(L\)-functions. II
• The subconvexity problem for Artin \(L\)-functions
• La conjecture de Weil. I
• Rankin-Selberg \(L\)-functions in the level aspect.
• First moment of Rankin-Selberg central \(L\)-values and subconvexity in the level aspect
• On Cusp form Coefficients in Exponential Sums
• ON THE EXPONENTIAL SUM WITH SQUARE-FREE NUMBERS
• Low lying zeros of families of \(L\)-functions

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