On the Integer Part Function and Uniform Distribution mod 1 Original Research Article

In this paper we seak to study the discrepancy and consequently the uniform distribution mod 1 of two types of sequences. For this purpose we denote by [ ] the integer part function. For realcwithimagetake (ξ[nc] : n 1, 2, 3, …); here the realξis badly approximable in the sense ofλ-admissibility (Theorem 1). For realc,qwithimage, 0