We study the index of the group of units in the genus field of an imaginary quadratic number field modulo the subgroup generated by the units of the quadratic subfields (over ℚ) of the genus field
Abstract. Circular units emerge in many occasions in algebraic number theory as they have tight conn...
We show that for 100\% of the odd, squarefree integers $n > 0$ the $4$-rank of $\text{Cl}(\mathbb{Q}...
AbstractA unit index-class number formula is proven for “cyclotomic function fields” in analogy with...
Kuroda's formula relates the class number of a multi-quadratic number field $K$ to the class numbers...
summary:We study the capitulation of \mbox {$2$-ideal} classes of an infinite family of imaginary bi...
summary:We study the capitulation of \mbox {$2$-ideal} classes of an infinite family of imaginary bi...
AbstractLet K be an imaginary abelian number field of type (2, 2, 2). We give a criterion which dete...
This thesis is concerned with the unit group and class number of real abelian fields. We study subgr...
Dirichlet's theorem describes the structure of the group of units of the ring of algebraic integers ...
We study multiquadratic real extensiosn K of Q under the assumption that for all quadratic subextens...
We study multiquadratic real extensiosn K of Q under the assumption that for all quadratic subextens...
AbstractFor a compositum of quadratic fields k=Q(d1,…,ds), where d1,…,ds are square-free odd integer...
Multidimensional continued fraction algorithms associated with GLn(ZK), where Zk is the ring of inte...
Multidimensional continued fraction algorithms associated with GLn(ZK), where Zk is the ring of inte...
Minor corrections and new numerical resultsWe use the polynomials m_s(t) = t^2 − 4s, s ∈ {−1, 1}, in...
Abstract. Circular units emerge in many occasions in algebraic number theory as they have tight conn...
We show that for 100\% of the odd, squarefree integers $n > 0$ the $4$-rank of $\text{Cl}(\mathbb{Q}...
AbstractA unit index-class number formula is proven for “cyclotomic function fields” in analogy with...
Kuroda's formula relates the class number of a multi-quadratic number field $K$ to the class numbers...
summary:We study the capitulation of \mbox {$2$-ideal} classes of an infinite family of imaginary bi...
summary:We study the capitulation of \mbox {$2$-ideal} classes of an infinite family of imaginary bi...
AbstractLet K be an imaginary abelian number field of type (2, 2, 2). We give a criterion which dete...
This thesis is concerned with the unit group and class number of real abelian fields. We study subgr...
Dirichlet's theorem describes the structure of the group of units of the ring of algebraic integers ...
We study multiquadratic real extensiosn K of Q under the assumption that for all quadratic subextens...
We study multiquadratic real extensiosn K of Q under the assumption that for all quadratic subextens...
AbstractFor a compositum of quadratic fields k=Q(d1,…,ds), where d1,…,ds are square-free odd integer...
Multidimensional continued fraction algorithms associated with GLn(ZK), where Zk is the ring of inte...
Multidimensional continued fraction algorithms associated with GLn(ZK), where Zk is the ring of inte...
Minor corrections and new numerical resultsWe use the polynomials m_s(t) = t^2 − 4s, s ∈ {−1, 1}, in...
Abstract. Circular units emerge in many occasions in algebraic number theory as they have tight conn...
We show that for 100\% of the odd, squarefree integers $n > 0$ the $4$-rank of $\text{Cl}(\mathbb{Q}...
AbstractA unit index-class number formula is proven for “cyclotomic function fields” in analogy with...