Add to ORKGAbstract. In this article we compute fundamental units for three parametric families of number fields of degree 4 with unit rank 2 and 3 generated by polynomials with Galois group D4 and S4. 1
AbstractWe give a parametric family of quintic polynomials of the form x5 + ax + b (a, b ∈ Q) with d...
summary:Let $\varepsilon $ be an algebraic unit of the degree $n\geq 3$. Assume that the extension $...
AbstractIn this article we compute a basis of the ring of integers and the group of units of some qu...
We determine all exceptional units among the elements of certain groups of units in quartic number f...
Dirichlet's theorem describes the structure of the group of units of the ring of algebraic integers ...
AbstractLet E = Q(√σ) be a quartic number field defined by the irreducible trinomial x4 + bx2 + d wi...
summary:It is a classical problem in algebraic number theory to decide if a number field is monogene...
AbstractLet E = Q(√σ) be a quartic number field defined by the irreducible trinomial x4 + bx2 + d wi...
Using the methods developed in [5] and J.H.E.Cohn's results on some quartic diophantine equation, we...
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...
Multidimensional continued fraction algorithms associated with GLn(ZK), where Zk is the ring of inte...
AbstractIn this article we compute a basis of the ring of integers and the group of units of some qu...
In real quadratic number field Q (root d), integral basis element is denoted by w(d) = [a(0); a(1), ...
In our previous paper [6], we have investigated a certain family of real bicyclic biquadratic fields...
AbstractWe give a parametric family of quintic polynomials of the form x5 + ax + b (a, b ∈ Q) with d...
summary:Let $\varepsilon $ be an algebraic unit of the degree $n\geq 3$. Assume that the extension $...
AbstractIn this article we compute a basis of the ring of integers and the group of units of some qu...
We determine all exceptional units among the elements of certain groups of units in quartic number f...
Dirichlet's theorem describes the structure of the group of units of the ring of algebraic integers ...
AbstractLet E = Q(√σ) be a quartic number field defined by the irreducible trinomial x4 + bx2 + d wi...
summary:It is a classical problem in algebraic number theory to decide if a number field is monogene...
AbstractLet E = Q(√σ) be a quartic number field defined by the irreducible trinomial x4 + bx2 + d wi...
Using the methods developed in [5] and J.H.E.Cohn's results on some quartic diophantine equation, we...
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...
Multidimensional continued fraction algorithms associated with GLn(ZK), where Zk is the ring of inte...
AbstractIn this article we compute a basis of the ring of integers and the group of units of some qu...
In real quadratic number field Q (root d), integral basis element is denoted by w(d) = [a(0); a(1), ...
In our previous paper [6], we have investigated a certain family of real bicyclic biquadratic fields...
AbstractWe give a parametric family of quintic polynomials of the form x5 + ax + b (a, b ∈ Q) with d...
summary:Let $\varepsilon $ be an algebraic unit of the degree $n\geq 3$. Assume that the extension $...
AbstractIn this article we compute a basis of the ring of integers and the group of units of some qu...