One-Parameter Families of Unit Equations

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dc.creatorLevin, Aaron
dc.date2006-01-27
dc.date.accessioned2026-07-07T06:59:24Z
dc.date.available2026-07-07T06:59:24Z
dc.descriptionWe study one-parameter families of S-unit equations of the form f(t)u+g(t)v=h(t), where f, g, and h are univariate polynomials over a number field, t is an S-integer, and u and v are S-units. For many possible choices of f, g, and h, we are able to determine all but finitely many solutions to the corresponding one-parameter family of S-unit equations. The results are obtained as consequences of some recent results on integral points on surfaces.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0601685
dc.identifierhttp://arxiv.org/abs/math/0601685
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107732
dc.subjectNumber Theory
dc.subject11D61
dc.titleOne-Parameter Families of Unit Equations
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