The cyclotomic numbers of order seven

Leonard, Philip A.; Williams, Kenneth S.

doi:10.1090/S0002-9939-1975-0371868-8

The cyclotomic numbers of order seven
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by Philip A. Leonard and Kenneth S. Williams PDF

Proc. Amer. Math. Soc. 51 (1975), 295-300 Request permission

Abstract:

The cyclotomic numbers of order seven are given in terms of the solutions of a certain system of three quadratic diophantine equations. This is analogous to L. E. Dickson’s evaluation of the cyclotomic numbers of order five, and is a convenient approach for applications to the theory of power residues.

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