Nonvanishing of \(L\)-functions for \(\text{GL}(n,\mathbf A_Q)\)

DOI10.1215/S0012-7094-04-12821-0zbMath1154.11323OpenAlexW1535284266MaRDI QIDQ2387122

Wenzhi Luo

Publication date: 1 September 2005

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-04-12821-0

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (8)

Determination of elliptic curves by their adjoint \(p\)-adic \(L\)-functions ⋮ Automorphic descent for symplectic groups: The branching problems and L -functions ⋮ Simultaneous nonvanishing of automorphic \(L\)-functions ⋮ Determination of \(\mathrm{GL}(3)\) Hecke-Maass forms from twisted central values ⋮ Quantitative non-vanishing results on L-functions ⋮ L-functions of GL_2n: p-adic properties and non-vanishing of twists ⋮ Simultaneous nonvanishing of 𝐺𝐿(2)×𝐺𝐿(2) and 𝐺𝐿(2) 𝐿-functions ⋮ A spectral reciprocity formula and non-vanishing for \(L\)-functions on \(\mathrm{GL}(4)\times\mathrm{GL}(2)\)

Cites Work

• On the Ramanujan conjecture and finiteness of poles for certain \(L\)-functions
• Nonvanishing of \(L\)-functions for \(\mathrm{GL}(2)\)
• A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)
• A nonvanishing result for twists of \(L\)-functions of \(\text{GL}(n)\)
• Rankin-Selberg Convolutions
• On Certain L-Functions
• On Euler Products and the Classification of Automorphic Representations I
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