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A Finite Analogue of the Goldbach Problem

Published online by Cambridge University Press:  20 November 2018

J. D. Dixon
J. D. Dixon*
Affiliation:
McGill University
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E. Cohen [1], [2] has considered an analogue of the famous Goldbach problem in certain finite rings. In the following another analogue is considered in the ring Jn of residue classes over the integers modulo n.

As 'primes' in Jn we take all residue classes coprime to n. That is, all elements p ϵ Jn which are not factors of zero in Jn. We denote this set by Rn.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 3 , Issue 2 , 01 May 1960 , pp. 121 - 126
Copyright
Copyright © Canadian Mathematical Society 1960

References

1. Cohen, E., A finite analogue to the Goldbach problem, Proc. Amer. Math, Soc. 5 (1954), 478-483.Google Scholar
2. Cohen, E., The finite Goldbach problem in algebraic number fields, Proc.Amer. Math. Soc. 7 (1956), 500-506.Google Scholar