THE FRACTIONAL GALOIS IDEAL FOR ARBITRARY ORDER OF VANISHING

DOI10.1142/S1793042111004010zbMath1221.11222arXiv0810.3262MaRDI QIDQ3085105

Paul R. Buckingham

Publication date: 28 March 2011

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.3262

zbMATH Keywords

class groupsL-functionsFitting idealsRubin-Stark elementsspecial units

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (2)

Computing annihilators of class groups from derivatives of $L$-functions ⋮ On higher order Stickelberger-type theorems

Cites Work

• Unnamed Item
• The canonical fractional Galois ideal at \(s = 0\)
• \(L\)-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.
• An analogue of Stickelberger's theorem for the higher K-groups
• A Stark conjecture ``over \({\mathbb{Z}}\) for abelian \(L\)-functions with multiple zeros
• Congruences between derivatives of abelian \(L\)-functions at \(s =0\)
• Functoriality of the Canonical Fractional Galois Ideal
• Stark's Conjecture and New Stickelberger Phenomena

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