The multiplicative semigroup of integers modulom
Edwin Hewitt, Herbert S. Zuckerman · Pacific Journal of Mathematics · 1960
Let J=i 1=1 lίlZprovided that n is sufRciently large; here {h, m) -1.From 2.1 we infer that Xj = 0 or a 3 (j = 1, , r).Since [x] e Z7 α c Γ α , 2.3 now implies that> where (c, m) -1.Then 2.3 shows that [x] e Γ α .To prove that [x] e U a , we need to find an integer I > 1 such that [x] 1 = [a?].This is equivalent to finding an I such that