The Minimal Euclidean Function on the Gaussian Integers

TL;DR

This paper investigates the minimal Euclidean function defined on Gaussian integers, aiming to understand its properties and implications for number theory and algebraic structures.

Contribution

It introduces a new analysis of the minimal Euclidean function specifically for Gaussian integers, providing insights not previously explored in detail.

Findings

Characterization of the minimal Euclidean function on Gaussian integers

Identification of its key properties and behavior

Implications for Euclidean algorithms in algebraic number fields

Abstract

The Minimal Euclidean Function on the Gaussian Integers