Sums of powers of cusp form coefficients. II

DOI10.1007/BF01455869zbMath0556.10018MaRDI QIDQ761485

Robert A. Rankin

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/164034

zbMATH Keywords

upper boundsnewformmodular grouplower boundsRamanujan function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Holomorphic modular forms of integral weight (11F11)

Related Items (15)

Subconvexity for modular form \(L\)-functions in the \(t\) aspect ⋮ Distribution of values of Fourier coefficients for modular forms of weight 1 ⋮ Simple zeros of modular L -functions ⋮ Estimates for the Fourier coefficients of symmetric square \(L\)-functions ⋮ Moments of ideal class counting functions ⋮ Fourier coefficients of cusp forms ⋮ Average of Dirichlet coefficients of cuspidal representations related to \(\mathrm{GL}(2)\) ⋮ Sums of absolute values of cusp form coefficients and their application ⋮ Power sums of Hecke eigenvalues of Maass cusp forms ⋮ A sieve method for shifted convolution sums ⋮ Fourier coefficients of cusp forms and automorphic \(L\)-functions ⋮ On Dirichlet series related to certain cusp forms ⋮ Perturbation of scattering poles for hyperbolic surfaces and central values of \(L\)-series ⋮ Simultaneous non-vanishing of twists ⋮ Strong orthogonality between the Möbius function, additive characters and Fourier coefficients of cusp forms

Cites Work

• An \(\Omega\)-result for the coefficients of cusp forms
• A family of newforms

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