Add to ORKGAbstract. It is known that every quadratic field K is a subfield of the splitting field of a dihedral quintic polynomial. In this paper it is shown that K is a subfield of the splitting field of a dihedral quintic trinomial x5 + ax + b if and only if the discriminant of K is of the form-49 or-89, where q is the (possibly empty) product of distinct primes congruent to 1 modulo 4
AbstractThe quadratic fields whose class numbers are divisible by 3 are parametrized as with integer...
Let f(x) be an irreducible polynomial of odd degree n > 1 whose Galois group is a Frobenius group. W...
AbstractWe give a parametric family of quintic polynomials of the form x5 + ax + b (a, b ∈ Q) with d...
Let Q denote the field of rational numbers, and set Q * = Q\{O). Let a c Q* and b c Q * be such tha...
Abstract. Let K be a cyclic quartic field. A necessary and sufficient condition is given for K to be...
Abstract. It is shown how to determine the unique quartic subfield of the splitting field of an irre...
Pure quintic fields which can be defined by a trinomial X5 + aX + b or X5 + aX2 + b, where a and b a...
AbstractLet L be a quartic number field with quadratic subfield Q([formula]). Then L = Q([formula], ...
Let L be a quartic number field with quadratic subfield Q([formula]). Then L = Q([formula], [formula...
The cyclic quartic field generated by the fifth powers of the Lagrange resolvents of a dihedral quin...
AbstractLet Δ(u) denote the discriminant of x3 + (u + 1) x2 − (u + 2) x − 1. The polynomial Δ(u) fac...
In [4], M. J. Lavallee, B. K. Spearman, K. S. Williams and Q. Yang introduced a certain parametric D...
According to Hermite there exists only a finite number of number fields having a given degree, and a...
It is shown that there exist infinitely many dihedral quintic fields with a power basis.</p
It is shown that there exist infinitely many dihedral quintic fields with a power basis
AbstractThe quadratic fields whose class numbers are divisible by 3 are parametrized as with integer...
Let f(x) be an irreducible polynomial of odd degree n > 1 whose Galois group is a Frobenius group. W...
AbstractWe give a parametric family of quintic polynomials of the form x5 + ax + b (a, b ∈ Q) with d...
Let Q denote the field of rational numbers, and set Q * = Q\{O). Let a c Q* and b c Q * be such tha...
Abstract. Let K be a cyclic quartic field. A necessary and sufficient condition is given for K to be...
Abstract. It is shown how to determine the unique quartic subfield of the splitting field of an irre...
Pure quintic fields which can be defined by a trinomial X5 + aX + b or X5 + aX2 + b, where a and b a...
AbstractLet L be a quartic number field with quadratic subfield Q([formula]). Then L = Q([formula], ...
Let L be a quartic number field with quadratic subfield Q([formula]). Then L = Q([formula], [formula...
The cyclic quartic field generated by the fifth powers of the Lagrange resolvents of a dihedral quin...
AbstractLet Δ(u) denote the discriminant of x3 + (u + 1) x2 − (u + 2) x − 1. The polynomial Δ(u) fac...
In [4], M. J. Lavallee, B. K. Spearman, K. S. Williams and Q. Yang introduced a certain parametric D...
According to Hermite there exists only a finite number of number fields having a given degree, and a...
It is shown that there exist infinitely many dihedral quintic fields with a power basis.</p
It is shown that there exist infinitely many dihedral quintic fields with a power basis
AbstractThe quadratic fields whose class numbers are divisible by 3 are parametrized as with integer...
Let f(x) be an irreducible polynomial of odd degree n > 1 whose Galois group is a Frobenius group. W...
AbstractWe give a parametric family of quintic polynomials of the form x5 + ax + b (a, b ∈ Q) with d...