Good integers : A note on results of Jitman and Prugsapitak

TL;DR

This paper corrects previous errors in the characterization of good integers and 2^β-good integers, clarifying their properties and relationships.

Contribution

It provides corrected proofs and clarifications on the properties of good integers and 2^β-good integers, addressing errors in prior research.

Findings

Corrected characterizations of good integers

Clarified properties of 2^β-good integers

Resolved inaccuracies in previous proofs

Abstract

In this paper, we fix some errors made by Jitman [1] and by Prugsapitak and Jitman [3] while characterizing good integers and $2^{\beta}$-good integers.