Exchanging the places p and infinity in the Leopoldt conjecture

dc.creatorDeninger, Christopher
dc.date2002-08-01
dc.date.accessioned2026-07-07T04:49:59Z
dc.date.available2026-07-07T04:49:59Z
dc.descriptionThe Leopoldt conjecture is concerned with the image of the global units in the local units at the primes dividing p. In the definition of the global units the infinite place is distinguished. Exchanging p and infinity in the formulation one gets a new conjecture. It predicts that certain vectors should be linearly independent over the reals whose components are arguments of conjugates of Weil numbers. Using Baker's result on linear forms in logarithms we prove part of this new conjecture in certain abelian situations.
dc.identifierhttps://arxiv.org/abs/math/0208008
dc.identifierhttp://arxiv.org/abs/math/0208008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64641
dc.subjectNumber Theory
dc.subject11R18; 11R27
dc.titleExchanging the places p and infinity in the Leopoldt conjecture
dc.typetext

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