On coefficient valuations of Eisenstein polynomials

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dc.creatorKuenzer, M.
dc.creatorWirsing, E.
dc.date2003-07-16
dc.date.accessioned2026-07-07T04:59:41Z
dc.date.available2026-07-07T04:59:41Z
dc.descriptionLet p > 2 be a prime, let n > m > 0. Let pi_n be the norm of zeta_{p^n} - 1 under C_{p-1}, so that Z_(p)[pi_n] | Z_(p) is a purely ramified extension of discrete valuation rings of degree p^{n-1}. The minimal polynomial of pi_n over Q(pi_m) is an Eisenstein polynomial; we give lower bounds for its coefficient valuations at pi_m. The function field analogue, as introduced by Carlitz and Hayes, is studied as well.
dc.identifierhttps://arxiv.org/abs/math/0307219
dc.identifierhttp://arxiv.org/abs/math/0307219
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68088
dc.subjectNumber Theory
dc.subject11R18, 11R60
dc.titleOn coefficient valuations of Eisenstein polynomials
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