Distribution of values at 1 of symmetric power $L$-functions of Maass cusp forms

DOI10.4064/aa8248-5-2016zbMath1402.11077OpenAlexW2577894975MaRDI QIDQ2833603

Yingnan Wang, Xuanxuan Xiao

Publication date: 18 November 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa8248-5-2016

zbMATH Keywords

\(L\)-functionMaass cusp formMontgomery-Vaughan's conjecture

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (2)

Absolute values of \(L\)-functions for \(\mathrm{GL}(n, \mathbb{R})\) at the point 1 ⋮ Some notes on distribution of Hecke eigenvalues for Maass cusp forms

Cites Work

• Unnamed Item
• Unnamed Item
• Distribution of values of symmetric power \(L\)-functions at the edge of the critical strip
• Quantitative version of the joint distribution of eigenvalues of the Hecke operators
• 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
• The distribution of values of \(L(1,\chi_d)\)
• \(L\)-functions of automorphic forms and combinatorics: Dyck paths.
• 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
• PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS
• Moyennes de certaines fonctions multiplicatives sur les entiers friables
• 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
• Statistics of the random variable \(L(\text{sym}^2f,1)\)

This page was built for publication: Distribution of values at 1 of symmetric power $L$-functions of Maass cusp forms