On a Density for Sets of Integers

TL;DR

This paper investigates a novel density concept for sets of integers, exploring its properties and its connection to the Riemann zeta function, contributing to number theory and density analysis.

Contribution

It introduces a new density measure for integer sets and analyzes its properties in relation to the Riemann zeta function, offering fresh insights into number theory.

Findings

Derived properties of the new density measure

Established connections between the density and the Riemann zeta function

Provided theoretical foundations for further research in integer set densities

Abstract

A relationship between the Riemann zeta function and a density on integer sets is explored. Several properties of the examined density are derived.