Verifying the Congruence Conjecture for Rubin-Stark Elements

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dc.creatorRoblot, Xavier-François
dc.creatorSolomon, David
dc.date2008-07-10
dc.date.accessioned2026-07-07T09:49:36Z
dc.date.available2026-07-07T09:49:36Z
dc.descriptionThe `Congruence Conjecture' was developed by the second author in a previous paper. It provides a conjectural explicit reciprocity law for a certain element associated to an abelian extension of a totally real number field whose existence is predicted by earlier conjectures of Rubin and Stark. The first aim of the present paper is to design and apply techniques to investigate the Congruence Conjecture numerically. We then present complete verifications of the conjecture in 48 varied cases with real quadratic base fields.
dc.description30 pages including 4 pages of tables
dc.identifierhttps://arxiv.org/abs/0807.1656
dc.identifierhttp://arxiv.org/abs/0807.1656
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164647
dc.subjectNumber Theory
dc.subject11R27, 11R42, 11S31, 11Y40
dc.titleVerifying the Congruence Conjecture for Rubin-Stark Elements
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