Title

Variations on a question concerning the degrees of divisors of x^n-1 J

Abstract

In this paper, we examine a natural question concerning the divisors of the polynomial x n -1: “How often does x n -1 have a divisor of every degree between 1 and n?” In a previous paper, we considered the situation when x n -1 is factored in ℤ[x]. In this paper, we replace ℤ[x] with � p [x], where p is an arbitrary-but-fixed prime. We also consider those n where this condition holds for all p.

Publisher

Universite de Bordeaux I, Centre de Recherces en Mathematiques

Publication Date

1-1-2014

Publication Title

Theorie des Nombres Bordeaux

Department

Mathematics

Document Type

Article

DOI

10.5802/jtnb.866

Language

English

Format

text

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