The minimum discriminant of totally real algebraic number fields of degree $9$ with cubic subfields
The minimum discriminant of totally real algebraic number fields of degree $9$ with cubic subfields
With the help of the computer language UBASIC86, the minimum discriminant <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="d left-parenthesis upper K right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>d</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>K</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">d(K)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of totally real algebraic number fields <italic>K</italic> of degree 9 with cubic subfields <italic>F</italic> is determined. …