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 |
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| container_issue | 3 |
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| container_title | The Rocky Mountain journal of mathematics |
| container_volume | 33 |
| creator | SPEARMAN, BLAIR K. WILLIAMS, KENNETH S. |
| description | 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). |
| doi_str_mv | 10.1216/rmjm/1181069946 |
| format | Article |
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| ispartof | The Rocky Mountain journal of mathematics, 2003-09, Vol.33 (3), p.1101-1122 |
| issn | 0035-7596 1945-3795 |
| language | eng |
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| source | JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; EZB-FREE-00999 freely available EZB journals; Project Euclid Complete |
| subjects | 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 |
| title | THE DISCRIMINANT OF A CYCLIC FIELD OF ODD PRIME DEGREE |
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