The average value of Fourier coefficients of cusp forms in arithmetic progressions
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Publication:999727
DOI10.1016/j.jnt.2008.05.015zbMath1229.11070OpenAlexW1991826911MaRDI QIDQ999727
Publication date: 10 February 2009
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2008.05.015
Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25) Rate of growth of arithmetic functions (11N56)
Related Items (6)
Higher-power moments of Fourier coefficients of holomorphic cusp forms for the congruence subgroup \(\varGamma_0(N)\) ⋮ On a variance of Hecke eigenvalues in arithmetic progressions ⋮ Additive twists of \(L^2\)-norm of Fourier-Jacobi coefficients of Siegel cusp forms ⋮ Power moments of Hecke eigenvalues for congruence group ⋮ A Barban-Davenport-Halberstam theorem for integers with fixed number of prime divisors ⋮ Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions
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- La conjecture de Weil. I
- The divisor function $d_3(n)$ in arithmetic progressions
- THE AVERAGE VALUE OF DIVISOR SUMS IN ARITHMETIC PROGRESSIONS
- Exponential sums connected with Ramanujan's function τ( n )
- The divisor problem for arithmetic progressions
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