Average values of symmetric square \(L\)-functions at the edge of the critical strip

DOI10.4171/RMI/423zbMath1147.11027OpenAlexW2042639748MaRDI QIDQ2567449

Jie Wu, Emmanuel Royer

Publication date: 5 October 2005

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1114176235

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Applications of sieve methods (11N36) Automorphic forms, one variable (11F12)

Related Items (10)

Distribution of values of symmetric power \(L\)-functions at the edge of the critical strip ⋮ Absolute values of \(L\)-functions for \(\mathrm{GL}(n, \mathbb{R})\) at the point 1 ⋮ Values of automorphic \(L\)-functions with prime power level at the point \(s=1\) ⋮ Mollification and non-vanishing of automorphic \(L\)-functions at the primary level ⋮ A density theorem on automorphic $L$-functions and some applications ⋮ Special values of symmetric power \(L\)-functions and Hecke eigenvalues ⋮ On the central value of symmetric square \(L\)-functions ⋮ \(L\)-functions of automorphic forms and combinatorics: Dyck paths. ⋮ Distribution of values at 1 of symmetric power $L$-functions of Maass cusp forms ⋮ Equidistribution of Fourier coefficients of square and cube symmetric \(L\)-functions

Cites Work

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• Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
• \(L\)-functions of automorphic forms and combinatorics: Dyck paths.
• Zeros of families of automorphic \(L\)-functions close to 1.
• A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations. Appendix: Recovering modular forms from squares by Dinakar Ramakrishnan
• The analytic rank of \(J_0(q)\) and zeros of automorphic \(L\)-functions.
• Modular Parametrizations of Elliptic Curves
• Values of symmetric square L-functions at 1
• On the error term in an asymptotic formula for the symmetric square 𝐿-function
• Interprétation combinatoire des moments négatifs des valeurs de fonctions L au bord de la bande critique
• Average values of symmetric square $L$-functions at the edge of the critical strip
• ON THE CONVERGENCE OF EIGENFUNCTION EXPANSIONS
• Low lying zeros of families of \(L\)-functions
• Statistics of the random variable \(L(\text{sym}^2f,1)\)
• Nonvanishing of \(L\)-values and the Weyl law

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