Add to ORKGPure quintic fields which can be defined by a trinomial X5 + aX + b or X5 + aX2 + b, where a and b are nonzero rational numbers, are characterized. Using this characterization it is shown that the only pure quintic field Q(p1/5) (p a prime) which can be defined by a trinomial is Q(21/5) = Q(θ), where θ is the unique real root of x5 + 100x2 + 1000 = 0
AbstractLet E = Q(√σ) be a quartic number field defined by the irreducible trinomial x4 + bx2 + d wi...
AbstractThis paper investigates the 2-class group of real multiquadratic number fields. Let p1,p2,…,...
AbstractThe author determines all pure cubic fields Q(n3) whose class numbers are multiples of three
Let a and b be nonzero rational numbers. We show that there are an infinite number of essentially di...
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. It is known that every quadratic field K is a subfield of the splitting field of a dihedra...
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...
In his work about Galois representations, Greenberg conjectured the existence, for any odd prime p a...
AbstractWe give a parametric family of quintic polynomials of the form x5 + ax + b (a, b ∈ Q) with d...
AbstractWe prove that a quintic form in 26 variables defined over ap-adic fieldKalways has a nontriv...
Abstract. We consider the totally real cyclic quintic fields Kn = Q(ϑn), generated by a root ϑn of t...
This thesis presents a factorization of a special quintic x5 + x + n, where n is an integer, as a pr...
In [4], M. J. Lavallee, B. K. Spearman, K. S. Williams and Q. Yang introduced a certain parametric D...
In this article we study totally definite quaternion fields over the rational field and over quadrat...
AbstractLet E = Q(√σ) be a quartic number field defined by the irreducible trinomial x4 + bx2 + d wi...
AbstractThis paper investigates the 2-class group of real multiquadratic number fields. Let p1,p2,…,...
AbstractThe author determines all pure cubic fields Q(n3) whose class numbers are multiples of three
Let a and b be nonzero rational numbers. We show that there are an infinite number of essentially di...
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. It is known that every quadratic field K is a subfield of the splitting field of a dihedra...
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...
In his work about Galois representations, Greenberg conjectured the existence, for any odd prime p a...
AbstractWe give a parametric family of quintic polynomials of the form x5 + ax + b (a, b ∈ Q) with d...
AbstractWe prove that a quintic form in 26 variables defined over ap-adic fieldKalways has a nontriv...
Abstract. We consider the totally real cyclic quintic fields Kn = Q(ϑn), generated by a root ϑn of t...
This thesis presents a factorization of a special quintic x5 + x + n, where n is an integer, as a pr...
In [4], M. J. Lavallee, B. K. Spearman, K. S. Williams and Q. Yang introduced a certain parametric D...
In this article we study totally definite quaternion fields over the rational field and over quadrat...
AbstractLet E = Q(√σ) be a quartic number field defined by the irreducible trinomial x4 + bx2 + d wi...
AbstractThis paper investigates the 2-class group of real multiquadratic number fields. Let p1,p2,…,...
AbstractThe author determines all pure cubic fields Q(n3) whose class numbers are multiples of three