Counting squarefree discriminants of trinomials under abc

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dc.creatorMukhopadhyay, Anirban
dc.creatorMurty, M. Ram
dc.creatorSrinivas, Kotyada
dc.date2008-08-04
dc.date.accessioned2026-07-07T09:54:33Z
dc.date.available2026-07-07T09:54:33Z
dc.descriptionFor an odd positive integer $n\ge 5$, assuming the truth of the $abc$ conjecture, we show that for a positive proportion of pairs $(a,b)$ of integers the trinomials of the form $t^n+at+b (a,b\in \mathbb Z)$ are irreducible and their discriminants are squarefree.
dc.description9 Pages
dc.identifierhttps://arxiv.org/abs/0808.0418
dc.identifierhttp://arxiv.org/abs/0808.0418
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166355
dc.subjectNumber Theory
dc.subject11R09,11C08
dc.titleCounting squarefree discriminants of trinomials under abc
dc.typetext

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