On the uniform distribution modulo \(1\) of sequences \(f(m/n)\)

Abstract. The series of sequences of real numbers \(\langle f(r)\rangle _{r\in \mathbb{Q}_x}\) are considered, where \(\mathbb{Q}_x ,\ x\geqslant 1\), are some finite sets of rational numbers. Using the Weyl's criterion the conditions for the uniform distribution modulo \(1\) are derived.

Key words and phrases. Weyl's criterion, uniform distribution modulo \(1\).