On averages of Fourier coefficients of Maass cusp forms

DOI10.1007/s00013-013-0494-3zbMath1276.11063OpenAlexW2170890935MaRDI QIDQ1945793

Guangshi Lü

Publication date: 9 April 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-013-0494-3

zbMATH Keywords

primitive Maass cusp formsums over Fourier coefficientsSymmetric power \(L\)-function

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Automorphic forms, one variable (11F12)

Related Items (13)

On exponential sums involving Fourier coefficients of cusp forms over primes ⋮ Estimates for coefficients of certain \(L\)-functions ⋮ On some estimates involving Fourier coefficients of Maass cusp forms ⋮ Mean value theorem connected with Fourier coefficients of Hecke-Maass forms for SL(m, ℤ) ⋮ On short sums involving Fourier coefficients of Maass forms ⋮ On general divisor problems involving Hecke eigenvalues ⋮ Average behavior of Fourier coefficients of Maass cusp forms for hyperbolic 3-manifolds ⋮ On sums involving Fourier coefficients of Maass forms for \(\mathrm{SL}(3,\mathbb Z)\) ⋮ A note on shifted convolution of cusp-forms with \(\theta\)-series ⋮ Power moments of automorphic L-function attached to Maass forms ⋮ Shifted convolution sums related to Hecke-Maass forms ⋮ Oscillations of Fourier coefficients of cusp forms over primes ⋮ On sums of Fourier coefficients of Maass cusp forms

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