The properties of the pure quartic field [equation] are examined in detail. More specifically the norm, minimal polynomial, integral basis, and the fundamental system of units of these fields will be the main focus of the thesis. An examination into the prime ideal decomposition and class number of these fields will also be taken.The original print copy of this thesis may be available here: http://wizard.unbc.ca/record=b180784
Let K be a quartic CM field, that is, a totally imaginary quadratic extension of a real quadratic nu...
We study norm-Euclideanity of number fields and some of its generalizations. In particular, we provi...
Casually introduced thirty years ago, a simple algebraic equation of degree 4 with coefficients in F...
The properties of the pure quartic field [equation] are examined in detail. More specifically the no...
Complete list of all primitive number fields of degree 4 and absolute discriminant at most 109. Comp...
summary:It is a classical problem in algebraic number theory to decide if a number field is monogene...
The purpose of this program is to compute tables of primitive quartic number fields whose absolute d...
You probably know how to factor the cubic polynomial x3 − 4x2 + 4x−3 into (x−3)(x2−x+1). But can you...
abstract: This dissertation will cover two topics. For the first, let $K$ be a number field. A $K$-d...
Dirichlet's theorem describes the structure of the group of units of the ring of algebraic integers ...
In this paper, we find criteria for when cyclic cubic and cyclic quarticfields have well-rounded ide...
Our object of study is relative quadratic extensions of algebraic number fields. In \u27Class Number...
Soit (K, Φ) une paire CM quartique primitive et (Kr , Φr ) son réflexe. Dans un article de 1962 inti...
Soit (K, Φ) une paire CM quartique primitive et (Kr , Φr ) son réflexe. Dans un article de 1962 inti...
Soit (K, Φ) une paire CM quartique primitive et (Kr , Φr ) son réflexe. Dans un article de 1962 inti...
Let K be a quartic CM field, that is, a totally imaginary quadratic extension of a real quadratic nu...
We study norm-Euclideanity of number fields and some of its generalizations. In particular, we provi...
Casually introduced thirty years ago, a simple algebraic equation of degree 4 with coefficients in F...
The properties of the pure quartic field [equation] are examined in detail. More specifically the no...
Complete list of all primitive number fields of degree 4 and absolute discriminant at most 109. Comp...
summary:It is a classical problem in algebraic number theory to decide if a number field is monogene...
The purpose of this program is to compute tables of primitive quartic number fields whose absolute d...
You probably know how to factor the cubic polynomial x3 − 4x2 + 4x−3 into (x−3)(x2−x+1). But can you...
abstract: This dissertation will cover two topics. For the first, let $K$ be a number field. A $K$-d...
Dirichlet's theorem describes the structure of the group of units of the ring of algebraic integers ...
In this paper, we find criteria for when cyclic cubic and cyclic quarticfields have well-rounded ide...
Our object of study is relative quadratic extensions of algebraic number fields. In \u27Class Number...
Soit (K, Φ) une paire CM quartique primitive et (Kr , Φr ) son réflexe. Dans un article de 1962 inti...
Soit (K, Φ) une paire CM quartique primitive et (Kr , Φr ) son réflexe. Dans un article de 1962 inti...
Soit (K, Φ) une paire CM quartique primitive et (Kr , Φr ) son réflexe. Dans un article de 1962 inti...
Let K be a quartic CM field, that is, a totally imaginary quadratic extension of a real quadratic nu...
We study norm-Euclideanity of number fields and some of its generalizations. In particular, we provi...
Casually introduced thirty years ago, a simple algebraic equation of degree 4 with coefficients in F...