AbstractA new method of determining algebraic number fields with discriminants of small absolute value is developed that avoids lengthy considerations of subfields. As an application all minimum discriminants of sixth degree fields are computed
AbstractIn this paper we show that there are, up to isomorphisms, exactly 15 totally imaginary eight...
AbstractThe root discriminant of a number field of degree n is the n th root of the absolute value o...
Minimal discriminants of number fields are presently known for 22 signatures. For 20 of these we giv...
AbstractA new method of determining algebraic number fields with discriminants of small absolute val...
In this paper we describe how to use the algorithmic methods provided by Hunter and Pohst in order t...
Modern algebra is a ubiquitous topic within mathematics and has many large and interconnected branch...
We improve the currently known lower bounds for the discriminant of a number field without assuming ...
We improve the currently known lower bounds for the discriminant of a number field without assuming ...
AbstractThe minimum discriminant of totally real octic algebraic number fields is determined. It is ...
. Complete lists of number fields, of given degree n and unramified outside a given finite set S of ...
We construct small models of number fields and deduce a better bound for the number of number fields...
AbstractThe minimum discriminant of totally real octic algebraic number fields is determined. It is ...
Includes bibliographical references (p. 24-25)Let p and s be prime numbers and let F/[double Q] be a...
AbstractWe apply class field theory to the computation of the minimal discriminants for certain solv...
AbstractThe root discriminant of a number field of degree n is the n th root of the absolute value o...
AbstractIn this paper we show that there are, up to isomorphisms, exactly 15 totally imaginary eight...
AbstractThe root discriminant of a number field of degree n is the n th root of the absolute value o...
Minimal discriminants of number fields are presently known for 22 signatures. For 20 of these we giv...
AbstractA new method of determining algebraic number fields with discriminants of small absolute val...
In this paper we describe how to use the algorithmic methods provided by Hunter and Pohst in order t...
Modern algebra is a ubiquitous topic within mathematics and has many large and interconnected branch...
We improve the currently known lower bounds for the discriminant of a number field without assuming ...
We improve the currently known lower bounds for the discriminant of a number field without assuming ...
AbstractThe minimum discriminant of totally real octic algebraic number fields is determined. It is ...
. Complete lists of number fields, of given degree n and unramified outside a given finite set S of ...
We construct small models of number fields and deduce a better bound for the number of number fields...
AbstractThe minimum discriminant of totally real octic algebraic number fields is determined. It is ...
Includes bibliographical references (p. 24-25)Let p and s be prime numbers and let F/[double Q] be a...
AbstractWe apply class field theory to the computation of the minimal discriminants for certain solv...
AbstractThe root discriminant of a number field of degree n is the n th root of the absolute value o...
AbstractIn this paper we show that there are, up to isomorphisms, exactly 15 totally imaginary eight...
AbstractThe root discriminant of a number field of degree n is the n th root of the absolute value o...
Minimal discriminants of number fields are presently known for 22 signatures. For 20 of these we giv...
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