First moments of Fourier coefficients of \(\mathrm{GL}(r)\) cusp forms
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Publication:898824
DOI10.1016/j.jnt.2014.12.001zbMath1396.11078OpenAlexW1979298273MaRDI QIDQ898824
Dorian Goldfeld, Jyoti Sengupta
Publication date: 21 December 2015
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2014.12.001
Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Related Items (8)
Oscillations of coefficients of Dirichlet series attached to automorphic forms ⋮ Estimates for coefficients of certain \(L\)-functions ⋮ Mean value of Dirichlet series coefficients of Rankin-Selberg \(L\)-functions ⋮ Moments of automorphic \(L\)-functions in the strip \(\frac{1}{2}<\sigma <1\) ⋮ On short sums involving Fourier coefficients of Maass forms ⋮ On sums involving Fourier coefficients of Maass forms for \(\mathrm{SL}(3,\mathbb Z)\) ⋮ Preface ⋮ On sums of Fourier coefficients of Maass cusp forms
Cites Work
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- On sums of Fourier coefficients of cusp forms
- Uniform estimates for sums of Fourier coefficients of cusp forms
- Whittaker functions associated to newforms for \(GL(n)\) over \(p\)-adic fields
- Functional equations with multiple gamma factors and the average order of arithmetical functions
- Rankin-Selberg Convolutions
- SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS
- On sums involving coefficients of automorphic $L$-functions
- On Euler Products and the Classification of Automorphic Forms II
- Cancellation in additively twisted sums on GL(n)
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