Oscillations of Fourier coefficients of \(\mathrm{GL}(m)\) Hecke-Maass forms and nonlinear exponential functions at primes
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Publication:1746242
DOI10.7169/facm/1623zbMath1407.11061OpenAlexW2603575917WikidataQ115478563 ScholiaQ115478563MaRDI QIDQ1746242
Publication date: 24 April 2018
Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.facm/1490688023
Estimates on exponential sums (11L07) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Sums over primes (11L20)
Related Items (2)
Fourier coefficients at primes twisted with exponential functions ⋮ On exponential sums for coefficients of general L-functions
Cites Work
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- Lectures on a method in the theory of exponential sums
- A nonvanishing result for twists of \(L\)-functions of \(\text{GL}(n)\)
- Zeros of principal \(L\)-functions and random matrix theory
- Exponential sums involving Maass forms
- Oscillations of cusp form coefficients in exponential sums
- A note on Fourier coefficients of cusp forms on GL n
- Vinogradov's exponential sum over primes
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- Resonance of automorphic forms for 𝐺𝐿(3)
- Low lying zeros of families of \(L\)-functions
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