On Buck's measurability of certain sets

TL;DR

This paper constructs specific Buck measurable sets and applies Niven's theorem to analyze their measure density, advancing understanding of measure theory in this context.

Contribution

It introduces new Buck measurable sets and demonstrates their properties using Niven's theorem, contributing novel insights to measure theory.

Findings

Construction of new Buck measurable sets

Application of Niven's theorem to measure density

Enhanced understanding of measure properties

Abstract

In the first part we construct some Buck measurable sets. In the second part we apply the Niven theorem for Buck's measure density to certain sets.