✦ LIBER ✦

Prime and composite polynomials

✍ Scribed by F Dorey; G Whaples

Book ID: 103133576
Publisher: Elsevier Science
Year: 1974
Tongue: English
Weight: 781 KB
Volume: 28
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(74)90023-4

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In general , not every set of values modulo n will be the set of roots modulo n of some polynomial . In this note , some characteristics of those sets which are root sets modulo a prime power are developed , and these characteristics are used to determine the number of dif ferent sets of integers wh

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Let \(R\) be a Dedekind domain with field of fractions \(K, L=K(x)\) a finite separable extension of \(K\), and \(S\) the integral closure of \(R\) in \(L\). Let \(I\) be the subring of \(K[X]\) consisting of all polynomials \(g(x)\) in \(K[X]\) such that \(g(R) \subset R\), and let \(E_{x}: I \righ