On the refined class number formula for global function fields

DOI10.4310/MRL.2004.v11.n5.a3zbMath1112.11053OpenAlexW2065980542MaRDI QIDQ1769973

Joongul Lee

Publication date: 5 April 2005

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2004.v11.n5.a3

zbMATH Keywords

global function fieldsclass number formulaStickelberger elementAbelian \(L\)-function

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (6)

Congruences between derivatives of abelian \(L\)-functions at \(s =0\) ⋮ Gross' conjecture for extensions ramified over four points of \(\mathbb P^1\) ⋮ Congruences between derivatives of geometric \(L\)-functions. With an appendix by David Burns, King Fai Lai and Ki-Seng Tan ⋮ On Tate's refinement for a conjecture of Gross and its generalization ⋮ Generalized Stark formulae over function fields ⋮ Stickelberger elements over rational function fields

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