Power moments of Hecke eigenvalues for congruence group
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Publication:1710756
DOI10.1016/J.JNT.2018.10.006zbMath1443.11050OpenAlexW2900631160WikidataQ128941704 ScholiaQ128941704MaRDI QIDQ1710756
Deyu Zhang, Ping Song, Zhai, Wenguang
Publication date: 23 January 2019
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2018.10.006
Asymptotic results on arithmetic functions (11N37) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)
Related Items (8)
Some density results on sets of primes for Hecke eigenvalues ⋮ Power moments of automorphic \(L\)-functions related to Maass forms for \(\mathrm{SL}_3 (\mathbb{Z})\) ⋮ The third-power moment of the Riesz mean error term of symmetric square \(L\)-function ⋮ On a Diophantine equation with prime variables ⋮ Moments of moments of primes in arithmetic progressions ⋮ On higher moments of Hecke eigenvalues for the congruence group ⋮ On the distribution of Hecke eigenvalues over Piatetski-Shapiro prime twins ⋮ Divisor problems related to Hecke eigenvalues in three dimensions
Cites Work
- Unnamed Item
- On a variance of Hecke eigenvalues in arithmetic progressions
- 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
- Remark on the paper ``On products of Fourier coefficients of cusp forms
- Ternary quadratic form with prime variables attached to Fourier coefficients of primitive holomorphic cusp form
- On sums of Fourier coefficients of cusp forms
- The average value of Fourier coefficients of cusp forms in arithmetic progressions
- The number of Hecke eigenvalues of same signs
- A zero-density theorem for the Riemann zeta-function
- La conjecture de Weil. I
- On the error term in Weyl's law for Heisenberg manifolds
- THE AVERAGE VALUE OF DIVISOR SUMS IN ARITHMETIC PROGRESSIONS
- Power sums of Hecke eigenvalues and application
- Large values of certain number-theoretic error terms
- On the third and fourth power moments of Fourier coefficients of cusp forms
- On higher-power moments of Δ (x)
- On higher-power moments of Δ(x) (II)
- On Some Exponential Sums
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