The cyclotomic numbers of order seven

Philip A. Leonard, Kenneth S. Williams
1975 Proceedings of the American Mathematical Society  
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.
doi:10.1090/s0002-9939-1975-0371868-8 fatcat:rfotigdzfjbzngq5z4g6zfjfim