4 papers
3-class field towers with 2 or 3 stages
Helga Boyer von Berghof, Daniel C. Mayer
For quadratic fields \(k=\mathbb{Q}(\sqrt{d})\) with discriminant \(d\), \(3\)-class group \(\mathrm{Cl}_3(k)\simeq (\mathbb{Z}/3\mathbb{Z})^2\), and four \textit{simple} \(3\)-pri…
Some results about entropy and divergence in number theory
Daniel C. Mayer, Nicusor Minculete, Diana Savin +1
We obtain inequalities involving the entropy of a positive integer and the divergence of two positive integers, respectively the entropy of an ideal and the divergence of two ideal…
Coclass of the second 3-class group
Siham Aouissi, Daniel C. Mayer
By means of parametrized presentations of finite metabelian 3-groups, it is proved that the coclass cc(M) of the second 3-class group M=Gal(F_3^2(K)/K) of any algebraic number fiel…
The Capitulation Problem in Certain Pure Cubic Fields
Siham Aouissi, Daniel C. Mayer
Let \(Î=\mathbb{Q}(\sqrt[3]{n})\) be a pure cubic field with normal closure \(k=\mathbb{Q}(\sqrt[3]{n},ζ)\), where \(n>1\) denotes a cube free integer, and \(ζ\) is a primitive…