Ternary quadratic form with prime variables attached to Fourier coefficients of primitive holomorphic cusp form

DOI10.1016/j.jnt.2016.12.018zbMath1422.11100OpenAlexW2587251924MaRDI QIDQ518080

Deyu Zhang, Yingnan Wang

Publication date: 28 March 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.12.018

zbMATH Keywords

quadratic formcircle methodFourier coefficients of primitive holomorphic cusp form

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (9)

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 ⋮ THE FOURIER COEFFICIENTS OF Θ‐SERIES IN ARITHMETIC PROGRESSIONS ⋮ Sums of the \(k\)th divisor function of the ternary quadratic with prime variables ⋮ Power moments of Hecke eigenvalues for congruence group ⋮ On the distribution of Hecke eigenvalues over Piatetski-Shapiro prime twins ⋮ Divisor problems related to Hecke eigenvalues in three dimensions ⋮ A quadratic form with prime variables associated with Hecke eigenvalues of a cusp form

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