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Minimal polynomials
for Gauss circulants and cyclotomic units
Stanley Joseph Gurak |
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Vol. 102 (1982), No. 2, 347–353
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Abstract |
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To determine the minimal polynomial of the Gauss periods of degree f corresponding to a given rational prime l > 3 is a classical problem dating back to Gauss. In this paper I show that at least the beginning coefficients of their minimal polynomial can be computed in an elementary fashion. The methods used here extend to give a similar result for computing the minimal polynomials of the cyclotomic units. |
Mathematical Subject Classification
Primary: 10G05, 10G05
Secondary: 12A45
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Milestones
Received: 17 February 1981
Revised: 5 October 1981
Published: 1 October 1982
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Authors |
| Stanley Joseph Gurak | |
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