Filling the gap in the table of smallest regulators up to degree 7
Author
dc.contributor.author
Friedman, Eduardo
Author
dc.contributor.author
Ramirez-Raposo, Gabriel
Admission date
dc.date.accessioned
2019-05-31T15:33:57Z
Available date
dc.date.available
2019-05-31T15:33:57Z
Publication date
dc.date.issued
2019
Cita de ítem
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Journal of Number Theory, Volumen 198, 2019, Pages 381-385.
Identifier
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0022314X
Identifier
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10.1016/j.jnt.2018.08.015
Identifier
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https://repositorio.uchile.cl/handle/2250/169684
Abstract
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In 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.