On the distribution of values of $L(1,\mathrm {sym}^2f)$
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Publication:3622378
DOI10.1090/S1061-0022-06-00939-3zbMath1178.11042OpenAlexW1530523675MaRDI QIDQ3622378
Publication date: 28 April 2009
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s1061-0022-06-00939-3
characteristic functiondistribution functionlarge sievesymmetric square \(L\)-functionAutomorphic \(L\)-function
Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Applications of sieve methods (11N36)
Cites Work
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- Behavior of automorphic \(L\)-functions at the points \(s=1\) and \(s=\frac 12\)
- Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
- Topics in multiplicative number theory
- The distribution of the eigenvalues of Hecke operators
- Values of symmetric square L-functions at 1
- Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝
- Statistics of the random variable \(L(\text{sym}^2f,1)\)
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