UNIFORM-DISTRIBUTION OF SOME SPECIAL SEQUENCES - REMARKS

In [2], Y. H. Too pointed out that our proof of Theorem 2 of our former paper [1] contained an error. In this paper, we shall first restate the main results of [1], [2] as Theorems A, B, C, then give a revised proof of Theorem B (= Theorem 2 [1]), prove a Proposition which, combined with Theorem A (= Theorem 1 [1] which was correctly proved), yields Theorem C and finally remark that Theorem B can also be easily deduced from Theorem A.