On various means involving the Fourier coefficients of cusp forms

DOI10.1007/BF01187218zbMath0497.10015MaRDI QIDQ1170217

Anton Good

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173310

zbMATH Keywords

Fourier coefficients of cusp formsRamanujan's function

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Automorphic forms, one variable (11F12)

Related Items

Additive problem with the coefficients of Hecke \(L\)-functions, Bounds on shifted convolution sums for Hecke eigenforms, Directions in hyperbolic lattices, Effective equidistribution of lattice points in positive characteristic, On products of Fourier coefficients of cusp forms, Rapid computation of L-functions attached to Maass forms, On the binary additive divisor problem in mean, On an analogue of Titchmarsh’s divisor problem for holomorphic cusp forms, On the distribution of lattice points on hyperbolic circles, Equidistribution of shears and their arithmetic applications, Semiclassical limits for the hyperbolic plane, On the Topography of Maass Waveforms for PSL(2, Z)

Cites Work

• Local analysis of Selberg's trace formula
• Beiträge zur Theorie der Dirichletreihen, die Spitzenformen zugeordnet sind
• \(\Omega\)-Sätze für gewisse multiplikative arithmetische Funktionen
• La conjecture de Weil. I
• Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
• Topics in multiplicative number theory
• An \(\Omega\)-result for the coefficients of cusp forms
• The square mean of Dirichlet series associated with cusp forms
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