Positive rational solutions to $x^y = y^{mx}$: a number-theoretic excursion

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dc.creatorBennett, Michael A.
dc.creatorReznick, Bruce
dc.date2002-09-06
dc.date.accessioned2026-07-07T04:50:40Z
dc.date.available2026-07-07T04:50:40Z
dc.descriptionWe give a light-hearted look at the topic in the title. Most solutions are in semi-boring parametric families, but some are sporadic and come from Thue equations. One amusing example is m = 2, x = (4/5)^128, y = (4/5)^125.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0209072
dc.identifierhttp://arxiv.org/abs/math/0209072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64875
dc.subjectNumber Theory
dc.subject11D41
dc.titlePositive rational solutions to $x^y = y^{mx}$: a number-theoretic excursion
dc.typetext

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