Fundamental properties of symmetric square \(L\)-functions. I.

zbMath1116.11032MaRDI QIDQ1850223

Ayyadurai Sankaranarayanan

Publication date: 1 January 2003

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (13)

Higher moments of certain \(L\)-functions on the critical line ⋮ On the mean square of standard \(L\)-functions attached to Ikeda lifts ⋮ The average behavior of Fourier coefficients of cusp forms over sparse sequences ⋮ The cancellation of Fourier coefficients of cusp forms over different sparse sequences ⋮ Integral mean square estimation for the error term related to \(\sum_{n\leq x}\lambda ^2 (n^2)\) ⋮ On the fourth moment of coefficients of symmetric square \(L\)-function ⋮ Symmetries and spectral statistics in chaotic conformal field theories. II: Maass cusp forms and arithmetic chaos ⋮ Zeros of Dirichlet polynomials ⋮ Fractional moments of automorphic $L$-functions ⋮ On the number of representations of integers by quaternary quadratic forms ⋮ On a sum involving Fourier coefficients of cusp forms ⋮ On the central value of symmetric square \(L\)-functions ⋮ On the mean-square of the error term related to \(\sum_{n\leq x} \lambda^2 (n^j)\)

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