Cyclotomy and Trinomial Equations in a Finite Field

Harry S. Vandiver · Proceedings of the National Academy of Sciences · 1946

H. H. Mitchell' considered a finite field of order q' where q is any prime and qt -1 = ev.Since the group formed under multiplication by the non-zero elements of the field is cyclic we may represent all such elements as powers of one element, say g.Denote the number of solutions of the congruence

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