On \(p\)-adic zeta-functions associated to the positive topology of algebraic number fields

DOI10.2977/PRIMS/1195145536zbMath0891.11055OpenAlexW2009739686MaRDI QIDQ1364342

Alexander Schmidt

Publication date: 20 July 1998

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195145536

zbMATH Keywords

functional equationIwasawa theoryGrothendieck topology\(p\)-adic zeta functionpositive \(p\)-adic \(L\)-functionpositive topology

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23)

Cites Work

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• Values of abelian \(L\)-functions at negative integers over totally real fields
• An arithmetic site for the rings of integers of algebraic number fields
• The Iwasawa conjecture for totally real fields
• Zeros of p-Adic L-Functions
• On the Iwasawa Invariants of Totally Real Number Fields
• The Irregular Primes to 125000
• Computation of ℤ₃-invariants of real quadratic fields

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