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Linear Homogeneous Equations Over Finite Rings

Published online by Cambridge University Press:  20 November 2018

Harlan Stevens
Harlan Stevens*
Affiliation:
The Pennsylvania State University
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The intent of this paper is to apply the following theorem in several particular instances:

Theorem 1. For any finite ring of q elements, let {} be a collection of s subsets of , each containing hi (i = 1, 2, . . . , s) members, and let denote the set of all differences d′ — d″ with d′ and d″ from including d′ = d″. Furthermore, suppose that

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 16 , 1964 , pp. 532 - 538
Copyright
Copyright © Canadian Mathematical Society 1964

References

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3. Carlitz, L., Distribution of primitive roots in a finite field, Quart. J. Math., Oxford, 4 (1953), 4–10.Google Scholar
4. Davenport, H., On primitive roots in finite fields, Quart. J. Math., Oxford, 8 (1937), 308–312 Google Scholar