Triple correlation sums of coefficients of cusp forms

DOI10.1016/j.jnt.2020.08.007zbMath1477.11072arXiv1911.09216OpenAlexW3087322362MaRDI QIDQ2212648

Yanyan Li

Publication date: 24 November 2020

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

Full work available at URL: https://arxiv.org/abs/1911.09216

zbMATH Keywords

Riemann zeta functionPoincaré seriesspectral theoryFourier coefficientsdivisor functioncusp formsmultiple Dirichlet seriesMaass eigenforms

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (1)

Triple correlation sums of coefficients of cuspidal forms

Uses Software

• GL(n)pack

Cites Work

• The second moment of sums of coefficients of cusp forms
• Multiple Dirichlet series and shifted convolutions
• The spectral decomposition of shifted convolution sums
• On double shifted convolution sum of \(\mathrm{SL}(2, \mathbb{Z})\) Hecke eigenforms
• On triple correlations of Fourier coefficients of cusp forms
• Non-real poles and irregularity of distribution
• Functional equations with multiple gamma factors and the average order of arithmetical functions
• Automorphic Forms and L-Functions for the GroupGL(n, R)
• The Fourth Power Moment of the Riemann Zeta Function
• SECOND MOMENTS IN THE GENERALIZED GAUSS CIRCLE PROBLEM
• On triple correlations of divisor functions
• On triple correlations of Fourier coefficients of cusp forms. II
• Estimates for Rankin-Selberg \(L\)-functions and quantum unique ergodicity
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