ON THE PROPERTIES OF CERTAIN TRINOMIAL EQUATIONS IN A FINITE FIELD | Zendy

H. S. Vandiver | Zendy

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ON THE PROPERTIES OF CERTAIN TRINOMIAL EQUATIONS IN A FINITE FIELD

Author(s) -

H. S. Vandiver

Publication year - 1955

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.41.9.651

Subject(s) - trinomial , interpretation (philosophy) , symmetry (geometry) , physics , quantum , theoretical physics , statistical physics , quantum mechanics , t symmetry , classical mechanics , mathematics , pure mathematics , computer science , discrete mathematics , geometry , programming language , superconductivity

In a recent paper' Mrs. E. H. Pearson and the writer considered certain types of trinomial congruences, and in later papers the writer2 3 developed this topic further and pointed out2 a relation of such questions to Case II of Fermat's Last Theorem. In the present paper we shall continue this investigation. Let p be an odd prime and F[pn] denote a finite field of order pf, and consider the solutions s, t of gi+C+ gJ+t 1 (1)

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