On Tsfasman--Vlăduţ Invariants of Infinite Global Fields

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dc.creatorLebacque, Philippe
dc.date2008-01-07
dc.date.accessioned2026-07-07T08:52:57Z
dc.date.available2026-07-07T08:52:57Z
dc.descriptionIn this article we study certain asymptotic properties of global fields. We consider the set of Tsfasman-Vladuts invariants of infinite global fields and answer some natural questions arising from their work. In particular, we prove the existence of infinite global fields having finitely many strictly positive invariants at given places, and the existence of infinite number fields with certain prescribed invariants being zero. We also give precisions on the deficiency of infinite global fields and on the primes decomposition in those fields.
dc.identifierhttps://arxiv.org/abs/0801.0972
dc.identifierhttp://arxiv.org/abs/0801.0972
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145454
dc.subjectNumber Theory
dc.subject11R34, 11R37, 11R45, 11R58
dc.titleOn Tsfasman--Vlăduţ Invariants of Infinite Global Fields
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