${\mathbf Q}$-independence and the construction of $B_h$-sets of integers and lattice points

TL;DR

This paper introduces a straightforward Q-vector space method for constructing finite B_h-sets of integers and lattice points, providing a new approach to their formation.

Contribution

It presents a novel simple Q-vector space construction technique for finite B_h-sets of integers and lattice points, advancing the methods available for their creation.

Findings

Provides a new construction method for B_h-sets

Simplifies the process of generating finite B_h-sets

Extends the construction to lattice points

Abstract

This paper gives a simple ${\mathbf Q}$-vector space construction of finite $B_h$-sets of integers and lattice points.