Polynomials which are locally reducible

dc.creatorGuralnick, R.
dc.creatorSchacher, M.
dc.creatorSonn, J.
dc.date2004-04-04
dc.date.accessioned2026-07-07T05:07:05Z
dc.date.available2026-07-07T05:07:05Z
dc.descriptionLet $K$ be a global field and $n > 1$ an integer. We show $n$ is composite if and only if there is an irreducible polynomial $f(x) \in K[x]$ of degree $n$ which is reducible $q$-adically for all the primes $q$ of $K$.
dc.identifierhttps://arxiv.org/abs/math/0404069
dc.identifierhttp://arxiv.org/abs/math/0404069
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70721
dc.subjectNumber Theory
dc.titlePolynomials which are locally reducible
dc.typetext

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