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The Number of Solutions of Congruences in Incomplete Residue Systems

Published online by Cambridge University Press:  20 November 2018

J. H. H. Chalk
J. H. H. Chalk*
Affiliation:
University of Toronto
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Let denote the set of points x = (x1, . . . , xn) with integral co-ordinates in Euclidean n-space. For any fixed integer m ≥ 2, let C = C(m) be the set of such points in the cube 0 ≤ xi < m (i = 1, 2, . . . , n) and let be any subset of C. Suppose that f(x) is any single-valued, integral-valued function, defined for all x ∊ . We consider solutions x ∊ of the congruence

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 291 - 296
Copyright
Copyright © Canadian Mathematical Society 1963

References

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