Solvable Polynomials over the Gaussian Field Q(i)

TL;DR

This paper investigates a specific congruence property of solvable polynomials with coefficients in the Gaussian field Q(i), providing insights into their algebraic structure and solvability.

Contribution

It introduces a new congruence property for solvable polynomials over the Gaussian field Q(i), expanding understanding of their algebraic behavior.

Findings

Identifies a unique congruence property for these polynomials

Enhances understanding of solvability conditions in Gaussian fields

Provides a foundation for further algebraic exploration

Abstract

In this paper, we describe a congruence property of solvable polynomials with coefficients in the Gaussian field Q(i).