Abstract
Let ν(M) denote the number of integers N in the range (0 ≤ N ≤ M) for whichwhere {y} denotes the fractional part of y. It is a convenient but trivial restriction to assume always that θ and φ lie between 0 and 1. There is a well-known result, which will be called ‘Weyl's Theorem’, that if θ is irrational,