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The Number of Solutions of Congruences in Incomplete Residue Systems

The Number of Solutions of Congruences in Incomplete Residue Systems

Let denote the set of points x = ( x 1 , . . . , x n ) 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 …