On values of zeta functions and \(\ell\)-adic Euler characteristics

DOI10.1007/BF01406467zbMath0409.12018OpenAlexW2007468291MaRDI QIDQ1258778

Jürgen Neukirch, Pilar Bayer

Publication date: 1978

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142605

zbMATH Keywords

Euler CharacteristicsL-Adic Zeta FunctionsLichtenbaum Type of FormulaValues of the Zeta Function

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions of number fields (11R42) Zeta functions and (L)-functions (11S40)

Related Items (15)

Algebraic number fields ⋮ Rationalité et valeurs de fonctions L en cohomologie cristalline. (Rationality and values of L-functions in crystalline cohomology) ⋮ The nilpotence theorem for the algebraic \(K\)-theory of the sphere spectrum ⋮ Tate conjecture for products of Fermat varieties over finite fields ⋮ K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale ⋮ Unnamed Item ⋮ On the structure of even $K$-groups of rings of algebraic integers ⋮ Motivic cohomology and \(K\)-theory of some surfaces over finite fields ⋮ Unnamed Item ⋮ On an analogue of the conjecture of Birch and Swinnerton-Dyer for abelian schemes over higher dimensional bases over finite fields ⋮ Étale cohomology, cofinite generation, and \(p\)-adic \(L\)-functions ⋮ Values of the Iwasawa \(L\)-functions at the point \(s=1\) ⋮ Iwasawa L-functions of varieties over algebraic number fields. A first approach ⋮ Class fields of abelian extensions of \(\mathbb Q\) ⋮ Motifs, L-functions, and the K-cohomology of rational surfaces over finite fields

Cites Work

• On l-adic zeta functions
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Cohomologie galoisienne. Cours au Collège de France, 1962--1963. 3ième éd.
• On \(p\)-adic \(L\)-functions
• On the values of zeta and L-functions. I
• Über die analytische Theorie der quadratischen Formen. III
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• Unnamed Item
• Unnamed Item
• Unnamed Item
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