THE DISCRIMINANT OF A CYCLIC FIELD OF ODD PRIME DEGREE

Let p be an odd prime. Let f(x) ∈ Z[x] be a defining polynomial for a cyclic extension field K of the rational number field Q with [K : Q] = p. An explicit formula for the discriminant d(K) of K is given in terms of the coefficients of f(x).

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Veröffentlicht in:	The Rocky Mountain journal of mathematics 2003-09, Vol.33 (3), p.1101-1122
Hauptverfasser:	SPEARMAN, BLAIR K., WILLIAMS, KENNETH S.
Format:	Artikel
Sprache:	eng
Schlagworte:	11R09 11R16 11R20 11R29 Algebra Discriminants Exact sciences and technology Grants Integers Mathematical theorems Mathematics Number theory Polynomials Research grants Sciences and techniques of general use
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Beschreibung
Zusammenfassung:	Let p be an odd prime. Let f(x) ∈ Z[x] be a defining polynomial for a cyclic extension field K of the rational number field Q with [K : Q] = p. An explicit formula for the discriminant d(K) of K is given in terms of the coefficients of f(x).
ISSN:	0035-7596 1945-3795
DOI:	10.1216/rmjm/1181069946