Non-vanishing of derivatives of 𝐺𝐿(3)×𝐺𝐿(2) 𝐿-functions

DOI10.1090/S0002-9939-2011-10947-XzbMath1255.11024OpenAlexW1524362866MaRDI QIDQ3116534

Qing Feng Sun

Publication date: 24 February 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10947-x

zbMATH Keywords

central valueRankin-Selberg \(L\)-functionsnon-vanishing theorem

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30) Automorphic forms, one variable (11F12)

Related Items (2)

Non-vanishing of the first derivative of GL(3) ×GL(2) L-functions ⋮ Twisted moments of GL(3) ×GL(2) L-functions

Cites Work

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• The second moment of \(\text{GL}(3)\times\text{GL}(2)\) \(L\)-functions, integrated
• Bounds for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions and \(\mathrm{GL}(3)\) \(L\)-functions
• Automorphic forms on GL(3,\({\mathbb{R}})\)
• Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\)
• The central value of the Rankin-Selberg \(L\)-functions
• A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)
• Rankin-Selberg \(L\)-functions in the level aspect.
• Nonvanishing theorems for L-functions of modular forms and their derivatives
• Determination of GL(3) Cusp Forms by Central Values of GL(3) x GL(2) L-functions
• Voronoi formulas on GL(n)
• Non-vanishing of high derivatives of automorphic L-functions at the center of the critical strip
• Automorphic Forms and L-Functions for the GroupGL(n, R)
• The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros
• Low lying zeros of families of \(L\)-functions

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