On the mean-square of the error term related to \(\sum_{n\leq x} \lambda^2 (n^j)\)
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Publication:544856
DOI10.1007/s11425-011-4175-zzbMath1232.11061OpenAlexW2086717993MaRDI QIDQ544856
Ayyadurai Sankaranarayanan, Huixue Lao
Publication date: 16 June 2011
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-011-4175-z
symmetric square \(L\)-functionsmean value theoremsholomorphic cusp formsRankin-Selberg zeta-function
(zeta (s)) and (L(s, chi)) (11M06) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)
Related Items
Discrete mean square of the coefficients of symmetric square \(L\)-functions on certain sequence of positive numbers, The average behavior of Fourier coefficients of symmetric power \(L\)-functions, Integral mean square estimation for the error term related to \(\sum_{n\leq x}\lambda ^2 (n^2)\), Integral mean-square estimation of error terms of Fourier coefficients attached to cusp forms, Higher moments of the Fourier coefficients of symmetric square \(L\)-functions on certain sequence, Unnamed Item, Asymptotics for the Dirichlet coefficients of symmetric power $L$-functions, On the error term and zeros of the Dedekind zeta function
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