Filling the gap in the table of smallest regulators up to degree 7

dc.contributor.authorFriedman, Eduardo
dc.contributor.authorRamirez-Raposo, Gabriel
dc.date.accessioned2025-01-23T21:17:25Z
dc.date.available2025-01-23T21:17:25Z
dc.date.issued2019
dc.description.abstractIn 2016 Astudillo, Diaz y Diaz and Friedman published sharp lower bounds for regulators of number fields of all signatures up to degree seven, except for fields of degree seven having five real places. We deal with this signature, proving that the field with the first discriminant has minimal regulator. The new element in the proof is an extension of Pohst's geometric method from the totally real case to fields having one complex place. (C) 2018 Elsevier Inc. All rights reserved.
dc.description.funderChilean FONDECYT grant
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.jnt.2018.08.015
dc.identifier.eissn1096-1658
dc.identifier.issn0022-314X
dc.identifier.urihttps://doi.org/10.1016/j.jnt.2018.08.015
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/101156
dc.identifier.wosidWOS:000457814900016
dc.language.isoen
dc.pagina.final385
dc.pagina.inicio381
dc.revistaJournal of number theory
dc.rightsacceso restringido
dc.subjectRegulator
dc.subjectUnits
dc.titleFilling the gap in the table of smallest regulators up to degree 7
dc.typeartículo
dc.volumen198
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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