Trivial \(L\)-functions for the rational function field

DOI10.1016/j.jnt.2012.02.011zbMath1318.11147OpenAlexW1982579438MaRDI QIDQ1932388

Gross, Benedict H.

Publication date: 18 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.02.011

zbMATH Keywords

\(L\)-functionArtin conductorrigid local system\(l\)-adic sheaf

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Zeta functions and (L)-functions of number fields (11R42)

Related Items (2)

Curves, dynamical systems, and weighted point counting ⋮ Characterization of global fields by Dirichlet \(L\)-series

Cites Work

• Rigid local systems on \(\mathbb G_m\) with finite monodromy
• Kloosterman sheaves for reductive groups
• Motives with exceptional Galois groups and the inverse Galois problem
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• From conjugacy classes in the Weyl group to unipotent classes
• Irreducible cuspidal representations with prescribed local behavior
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• Exponential Sums and Differential Equations. (AM-124)
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