The first negative coefficient of symmetric power \(L\)-functions

DOI10.7169/FACM/1609zbMath1406.11037OpenAlexW2603906387MaRDI QIDQ1746226

Khadija Mbarki, Jie Wu, Kamel Mazhouda

Publication date: 24 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1490688013

zbMATH Keywords

\(L\) functionsmodular formsFourier coefficients

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Fourier coefficients of automorphic forms (11F30) Automorphic forms, one variable (11F12)

Cites Work

• Unnamed Item
• The first negative coefficients of symmetric square \(L\)-functions
• Special values of symmetric power \(L\)-functions and Hecke eigenvalues
• La conjecture de Weil. I
• Cuspidality of symmetric powers with applications.
• Linnik-type problems for automorphic \(L\)-functions
• On modular signs
• Two Linnik-type problems for automorphic L-functions
• On signs of Fourier coefficients of cusp forms
• Convexity bounds for L-functions
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• THE FIRST NEGATIVE HECKE EIGENVALUE

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