THE EQUIVALENCE OF RUBIN'S CONJECTURE AND THE ETNC/LRNC FOR CERTAIN BIQUADRATIC EXTENSIONS

DOI10.1017/S0017089513000281zbMath1296.11147WikidataQ123025746 ScholiaQ123025746MaRDI QIDQ5415956

Paul R. Buckingham

Publication date: 19 May 2014

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

\(L\)-functionsTamagawa number conjectureStark's conjecturesbiquadratic extensionsRubin's conjecture

Mathematics Subject Classification ID

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

Related Items (2)

On the p‐adic Stark conjecture at s=1 and applications ⋮ On the equivariant Tamagawa number conjecture for Tate motives and unconditional annihilation results

Cites Work

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• Congruences between derivatives of geometric \(L\)-functions. With an appendix by David Burns, King Fai Lai and Ki-Seng Tan
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• Special values of Abelian \(L\)-functions at \(s=0\)
• On the Galois structure of algebraic integers and S-units
• \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
• On the equivariant Tamagawa number conjecture for Tate motives
• Stark's conjecture in multi-quadratic extensions, revisited.
• A Stark conjecture ``over \({\mathbb{Z}}\) for abelian \(L\)-functions with multiple zeros
• Congruences between derivatives of abelian \(L\)-functions at \(s =0\)
• K-theory of finite groups and orders. Notes by E. Graham Evans
• On the cyclotomic main conjecture for the prime 2
• ON HIGHER-ORDER STICKELBERGER-TYPE THEOREMS FOR MULTI-QUADRATIC EXTENSIONS
• A Local Approach to Chinburg's Root Number Conjecture
• The Cohomology Groups of Tori in Finite Galois Extensions of Number Fields
• Algebraic \(K\)-theory

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