Imaginary Multiquadratic Fields of Class Number 1

TL;DR

This paper provides a comprehensive classification of all imaginary multiquadratic fields with class number one, advancing the understanding of their algebraic structure and properties.

Contribution

It offers the first complete classification of all imaginary multiquadratic fields of class number 1, filling a significant gap in number theory.

Findings

Complete list of imaginary multiquadratic fields with class number 1

Identification of structural properties of these fields

Implications for class number theory and algebraic number theory

Abstract

In this paper, we present a complete classification of all imaginary $n$-quadratic fields of class number 1.