Abstract. For a positive square-free integer d, let td and ud be positive integers such that ϵd = td+u
Minor corrections and new numerical resultsWe use the polynomials m_s(t) = t^2 − 4s, s ∈ {−1, 1}, in...
For any square-free positive integer m, let H(m) be the class-number of the field Q(ςm+ςm-1 ), where...
summary:Let $p\equiv 1\pmod {8}$ and $q\equiv 3\pmod 8$ be two prime integers and let $\ell \not \in...
8th International Conference on Promoting the Application of Mathematics in Technical and Natural Sc...
AbstractLet ∈ = (t + u(d)2/2 be a unit of Q((d)1/2), whose norm = 1. We investigate the properties o...
There exists a positive density of fundamental discriminants D such that the attached fundamental un...
In this paper, we determine the real quadratic fields Q(root d) coincide with positive square-free i...
AbstractLet D, d be integers with D > 0, d dividing D and d square free and let α and β be the two r...
The purpose of this paper is to investigate the real quadratic number fields Q(root d) which contain...
Let εmdenote the fundamental unit of the real quadratic field Q(Vm). It is our purpose to evaluate t...
Dirichlet's theorem describes the structure of the group of units of the ring of algebraic integers ...
In real quadratic number field Q (root d), integral basis element is denoted by w(d) = [a(0); a(1), ...
New elementary criterion for the norm of the fundamental unit of a real quadratic field - 16 pagesWe...
Let K = Q(root d) be a real quadratic field, where d is a positive square-free integer congruent to ...
AbstractWe give explicitly the fundamental unit of real quadratic fields of a new type different fro...
Minor corrections and new numerical resultsWe use the polynomials m_s(t) = t^2 − 4s, s ∈ {−1, 1}, in...
For any square-free positive integer m, let H(m) be the class-number of the field Q(ςm+ςm-1 ), where...
summary:Let $p\equiv 1\pmod {8}$ and $q\equiv 3\pmod 8$ be two prime integers and let $\ell \not \in...
8th International Conference on Promoting the Application of Mathematics in Technical and Natural Sc...
AbstractLet ∈ = (t + u(d)2/2 be a unit of Q((d)1/2), whose norm = 1. We investigate the properties o...
There exists a positive density of fundamental discriminants D such that the attached fundamental un...
In this paper, we determine the real quadratic fields Q(root d) coincide with positive square-free i...
AbstractLet D, d be integers with D > 0, d dividing D and d square free and let α and β be the two r...
The purpose of this paper is to investigate the real quadratic number fields Q(root d) which contain...
Let εmdenote the fundamental unit of the real quadratic field Q(Vm). It is our purpose to evaluate t...
Dirichlet's theorem describes the structure of the group of units of the ring of algebraic integers ...
In real quadratic number field Q (root d), integral basis element is denoted by w(d) = [a(0); a(1), ...
New elementary criterion for the norm of the fundamental unit of a real quadratic field - 16 pagesWe...
Let K = Q(root d) be a real quadratic field, where d is a positive square-free integer congruent to ...
AbstractWe give explicitly the fundamental unit of real quadratic fields of a new type different fro...
Minor corrections and new numerical resultsWe use the polynomials m_s(t) = t^2 − 4s, s ∈ {−1, 1}, in...
For any square-free positive integer m, let H(m) be the class-number of the field Q(ςm+ςm-1 ), where...
summary:Let $p\equiv 1\pmod {8}$ and $q\equiv 3\pmod 8$ be two prime integers and let $\ell \not \in...