Distribution of values of symmetric power \(L\)-functions at the edge of the critical strip

DOI10.1016/j.jnt.2015.11.025zbMath1412.11095arXiv1508.00111OpenAlexW2963117969MaRDI QIDQ266608

Xuanxuan Xiao

Publication date: 13 April 2016

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

Full work available at URL: https://arxiv.org/abs/1508.00111

zbMATH Keywords

extreme values\(L\)-functionsmodular forms

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (5)

Sign changes of Hecke eigenvalue of primitive cusp forms ⋮ 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 \(s=1\) ⋮ Large deviations for values of \(L\)-functions attached to cusp forms in the level aspect ⋮ Distribution of values at 1 of symmetric power $L$-functions of Maass cusp forms

Cites Work

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• Special values of symmetric power \(L\)-functions and Hecke eigenvalues
• Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
• An upper bound on conductors for pairs
• The distribution of values of \(L(1,\chi_d)\)
• \(L\)-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
• Topics in multiplicative number theory
• Average values of symmetric square \(L\)-functions at the edge of the critical strip
• A Large Sieve Inequality of Elliott-Montgomery-Vaughan Type for Automorphic Forms and Two Applications
• Distribution of values of L -functions at the edge of the critical strip
• Values of symmetric square L-functions at 1
• Interprétation combinatoire des moments négatifs des valeurs de fonctions L au bord de la bande critique
• A density theorem on automorphic $L$-functions and some applications
• Low lying zeros of families of \(L\)-functions
• Statistics of the random variable \(L(\text{sym}^2f,1)\)

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