Fourier coefficients twisted with exponential functions
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Publication:6536855
DOI10.1007/s11139-023-00826-xMaRDI QIDQ6536855
Publication date: 14 May 2024
Published in: The Ramanujan Journal (Search for Journal in Brave)
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)
Cites Work
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- On exponential sums involving Fourier coefficients of cusp forms over primes
- Oscillations of Hecke eigenvalues at shifted primes
- Oscillations of cusp form coefficients over primes
- Sums of powers of cusp form coefficients
- Oscillations of Fourier coefficients of \(\mathrm{GL}(m)\) Hecke-Maass forms and nonlinear exponential functions at primes
- La conjecture de Weil. I
- The generalized Bourgain-Sarnak-Ziegler criterion and its application to additively twisted sums on \(\mathrm{GL}_m\)
- Fourier coefficients at primes twisted with exponential functions
- Vinogradov's exponential sum over primes
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- Low lying zeros of families of \(L\)-functions
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