On double shifted convolution sum of \(\mathrm{SL}(2, \mathbb{Z})\) Hecke eigenforms

DOI10.1016/j.jnt.2018.03.008zbMath1401.11133arXiv1608.07063OpenAlexW2802638902MaRDI QIDQ1651980

Saurabh Kumar Singh

Publication date: 11 July 2018

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

Full work available at URL: https://arxiv.org/abs/1608.07063

zbMATH Keywords

Maass formsPoisson summation formulaHecke eigenformsVoronoi summation formula

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30)

Related Items (8)

Estimates for the shifted convolution sum involving Fourier coefficients of cusp forms of half-integral weight ⋮ 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 ⋮ Estimates of shifted convolution sums involving Fourier coefficients of Hecke–Maass eigenform

Cites Work

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• The divisor problem for binary cubic forms
• Rankin-Selberg \(L\)-functions in the level aspect.
• On exponential sums involving the Fourier coefficients of Maass wave forms.
• A new form of the circle method, and its application to quadratic forms.
• On triple correlations of divisor functions

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