On the values of equivariant zeta functions of curves over finite fields

zbMath1077.11049MaRDI QIDQ1769045

David J. Burns

Publication date: 16 March 2005

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/125370

zbMATH Keywords

values of \(L\)-functionsglobal fields of characteristic \(p\)

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) (K_0) of group rings and orders (19A31) (K_1) of group rings and orders (19B28) Class groups and Picard groups of orders (11R65)

Related Items (12)

On the refined class number formula of Gross ⋮ Congruences between derivatives of abelian \(L\)-functions at \(s =0\) ⋮ Abstract \(\ell\)-adic 1-motives and Tate's canonical class for number fields ⋮ The equivariant Tamagawa number conjecture and the extended abelian Stark conjecture ⋮ On a noncommutative Iwasawa main conjecture for varieties over finite fields ⋮ On derivatives of Artin \(L\)-series ⋮ On Geometric Iwasawa Theory and Special Values of Zeta Functions ⋮ Congruences between derivatives of geometric \(L\)-functions. With an appendix by David Burns, King Fai Lai and Ki-Seng Tan ⋮ On higher order Stickelberger-type theorems ⋮ Generalized Stark formulae over function fields ⋮ Picard 1-motives and Tate sequences for function fields ⋮ Families of curves with Galois action and their \(L\)-functions

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