The distribution of $k$-tuples of reduced residues

TL;DR

This paper investigates the distribution patterns of k-tuples of reduced residues, building on Erdős's 1940 conjecture, to understand their behavior and properties.

Contribution

It provides new insights into the distribution of k-tuples of reduced residues, extending Erdős's conjecture to multiple residues.

Findings

Distribution patterns identified for k-tuples of reduced residues

Extended understanding of residue distribution beyond single residues

Results support or refine Erdős's conjecture for multiple residues

Abstract

In 1940 Paul Erd\H{o}s made a conjecture about the distribution of reduced residues. Here we study the distribution of $k$-tuple of reduced residues.