Estimates of shifted convolution sums involving Fourier coefficients of Hecke–Maass eigenform

DOI10.1142/S1793042121500524zbMath1477.11078OpenAlexW3115111816MaRDI QIDQ5009089

Lalit Vaishya, Abhash Kumar Jha

Publication date: 19 August 2021

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

Full work available at URL: https://doi.org/10.1142/s1793042121500524

zbMATH Keywords

\(L\)-functionsMaass formholomorphic cusp formshifted convolution sum

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (2)

Estimates for the shifted convolution sum involving Fourier coefficients of cusp forms of half-integral weight ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Shifted convolution sums for \(\mathrm{GL}(3)\times\mathrm{GL}(2)\)
• The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
• On double shifted convolution sum of \(\mathrm{SL}(2, \mathbb{Z})\) Hecke eigenforms
• On shifted convolutions of \(\zeta^3(s)\) with automorphic \(L\)-functions
• Averages of shifted convolution sums for \(\mathrm{GL}(3)\times \mathrm{GL}(2)\)
• Power moments of automorphic L-function attached to Maass forms
• The square mean of Dirichlet series associated with cusp forms
• Averages of shifted convolutions of general divisor sums involving Hecke eigenvalues

This page was built for publication: Estimates of shifted convolution sums involving Fourier coefficients of Hecke–Maass eigenform