First moments of Fourier coefficients of \(\mathrm{GL}(r)\) cusp forms

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

zbMATH Keywords

moments\(L\)-functionscuspidal automorphic representation

Mathematics Subject Classification ID

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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