It is shown that there exist infinitely many dihedral quintic fields with a power basis.</p
We consider number fields $K$ generated by a root of an irreducible trinomial $x^4+ax^2+b\in \Bbb Z[...
AbstractWe give a parametric family of quintic polynomials of the form x5 + ax + b (a, b ∈ Q) with d...
AbstractLetpbe an odd prime and Opbe the ring of integers in the cyclotomic fieldQ(ζ), whereζis a pr...
It is shown that there exist infinitely many dihedral quintic fields with a power basis.</p
Cryptography is defined to be the practice and studying of hiding information and is used in applica...
Abstract. It is shown that there exist infinitely many dihedral quintic fields with a power basis. 1
AbstractA quartic number field,L, is calleddihedralif the normal closure,N, ofLsatisfies Gal(N/Q)≅D8...
In [4], M. J. Lavallee, B. K. Spearman, K. S. Williams and Q. Yang introduced a certain parametric D...
ABSTRACT. It is shown that there exist infinitely many cubic fields L with a power basis such that t...
AbstractLet K/Q be a cyclic extension of degree l. Let ZK be the ring of integers of K. We say that ...
AbstractLet ζ be a primitive 2mth root of unity. We prove that Z[α]=Z[ζ] if and only if α=n±ζi for s...
AbstractLet L be a quartic number field with quadratic subfield Q([formula]). Then L = Q([formula], ...
The cyclic quartic field generated by the fifth powers of the Lagrange resolvents of a dihedral quin...
Abstract. We consider the totally real cyclic quintic fields Kn = Q(ϑn), generated by a root ϑn of t...
Let L be a quartic number field with quadratic subfield Q([formula]). Then L = Q([formula], [formula...
We consider number fields $K$ generated by a root of an irreducible trinomial $x^4+ax^2+b\in \Bbb Z[...
AbstractWe give a parametric family of quintic polynomials of the form x5 + ax + b (a, b ∈ Q) with d...
AbstractLetpbe an odd prime and Opbe the ring of integers in the cyclotomic fieldQ(ζ), whereζis a pr...
It is shown that there exist infinitely many dihedral quintic fields with a power basis.</p
Cryptography is defined to be the practice and studying of hiding information and is used in applica...
Abstract. It is shown that there exist infinitely many dihedral quintic fields with a power basis. 1
AbstractA quartic number field,L, is calleddihedralif the normal closure,N, ofLsatisfies Gal(N/Q)≅D8...
In [4], M. J. Lavallee, B. K. Spearman, K. S. Williams and Q. Yang introduced a certain parametric D...
ABSTRACT. It is shown that there exist infinitely many cubic fields L with a power basis such that t...
AbstractLet K/Q be a cyclic extension of degree l. Let ZK be the ring of integers of K. We say that ...
AbstractLet ζ be a primitive 2mth root of unity. We prove that Z[α]=Z[ζ] if and only if α=n±ζi for s...
AbstractLet L be a quartic number field with quadratic subfield Q([formula]). Then L = Q([formula], ...
The cyclic quartic field generated by the fifth powers of the Lagrange resolvents of a dihedral quin...
Abstract. We consider the totally real cyclic quintic fields Kn = Q(ϑn), generated by a root ϑn of t...
Let L be a quartic number field with quadratic subfield Q([formula]). Then L = Q([formula], [formula...
We consider number fields $K$ generated by a root of an irreducible trinomial $x^4+ax^2+b\in \Bbb Z[...
AbstractWe give a parametric family of quintic polynomials of the form x5 + ax + b (a, b ∈ Q) with d...
AbstractLetpbe an odd prime and Opbe the ring of integers in the cyclotomic fieldQ(ζ), whereζis a pr...
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