Deligne's reciprocity for function fields

DOI10.1006/JNTH.1997.2082zbMath0932.11040OpenAlexW2007013861MaRDI QIDQ677627

Samarendra K. Sinha

Publication date: 17 March 1999

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2082

zbMATH Keywords

reciprocity lawDrinfeld modulesarithmetic of function fieldsCarlitz exponentialcharacteristic \(p\)-solitonsgeometric \(\Gamma\)-function

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (5)

Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ Integrable systems and number theory in finite characteristic ⋮ Anderson’s double complex and gamma monomials for rational function fields ⋮ An alternate approach to solitons for \(\mathbb F_q [t\)] ⋮ Kronecker-Weber plus epsilon.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gamma functions for function fields and Drinfeld modules
• The \(\Gamma\)-function in the arithmetic of function fields
• \(t\)-motives
• Hodge cycles, motives, and Shimura varieties
• Géométrie analytique rigide et applications. (Ridgid analytic geometry and applications)
• Gauss sums and the p-adic \(\Gamma\)-function
• Hecke characters and Eisenstein reciprocity in function fields
• On the Frobenius Endomorphisms of Fermat and Artin-Schreier Curves
• Explicit Class Field Theory for Rational Function Fields

This page was built for publication: Deligne's reciprocity for function fields