Computation of Stark-Tamagawa units

DOI10.1090/S0025-5718-03-01561-8zbMath1057.11049MaRDI QIDQ4417171

Werner Bley

Publication date: 28 July 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

cyclic extensionFitting idealequivariant Tamagawa number conjectureStark unitTate motiveStark's conjecture

Mathematics Subject Classification ID

Units and factorization (11R27) Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (2)

Congruences between derivatives of abelian \(L\)-functions at \(s =0\) ⋮ On equivariant global epsilon constants for certain dihedral extensions

Cites Work

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• Class fields of abelian extensions of \(\mathbb Q\)
• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• On the Galois structure of algebraic integers and S-units
• On the equivariant Tamagawa number conjecture for Tate motives
• A Stark conjecture ``over \({\mathbb{Z}}\) for abelian \(L\)-functions with multiple zeros
• Explicit units and the equivariant Tamagawa number conjecture
• Base change for Stark-type conjectures "over \mathbb{Z}"
• Homological Equivalences of Modules and Their Projective Invariants
• Advanced Topics in Computional Number Theory
• The Cohomology Groups of Tori in Finite Galois Extensions of Number Fields
• Tamagawa numbers for motives with (non-commutative) coefficients

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