On triple correlations of Fourier coefficients of cusp forms

DOI10.1016/j.jnt.2017.08.028zbMath1433.11110arXiv1607.02956OpenAlexW2623408102MaRDI QIDQ1675622

Ping Xi, Guangshi Lü, Yongxiao Lin

Publication date: 2 November 2017

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

Full work available at URL: https://arxiv.org/abs/1607.02956

zbMATH Keywords

circle methodFourier coefficientscusp formstriple correlationlarge sieve inequalitiesKuznetsov's trace formula

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Fourier coefficients of automorphic forms (11F30) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (6)

Averages of shifted convolution sums for arithmetic functions ⋮ Triple correlations of ternary divisor functions. II ⋮ Triple correlation sums of coefficients of cuspidal forms ⋮ Unnamed Item ⋮ Triple correlation sums of coefficients of cusp forms ⋮ On triple correlations of Fourier coefficients of cusp forms. II

Uses Software

• GL(n)pack

Cites Work

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• Automorphic Forms and L-Functions for the GroupGL(n, R)

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