Rank distribution in a family of cubic twists

dc.creatorWatkins, Mark
dc.date2004-12-21
dc.date2005-09-17
dc.date.accessioned2026-07-07T06:18:08Z
dc.date.available2026-07-07T06:18:08Z
dc.descriptionIn 1987, Zagier and Kramarz published a paper in which they presented evidence that a positive proportion of the even-signed cubic twists of the elliptic curve $x^3+y^3=1$ should have positive rank. We extend their data, showing that it is more likely that the proportion goes to zero.
dc.identifierhttps://arxiv.org/abs/math/0412427
dc.identifierhttp://arxiv.org/abs/math/0412427
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94634
dc.subjectNumber Theory
dc.titleRank distribution in a family of cubic twists
dc.typetext

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