Ara
Toplam kayıt 28, listelenen: 21-28
A Note on the Fundamental Unit in Some Types of the Real Quadratic Number Fields
(Amer Inst Physics, 2016)
Let k = Q(root d) be a real quadratic numbefield where d > 0 is a positive square-free integer. The map d -> Q(root d) is a bijection from the set off all square-free integers d # 0,1 to the set of all quadratic fields ...
SOME RESULTS ON SPECIAL CONTINUED FRACTION EXPANSIONS IN REAL QUADRATIC NUMBER FIELDS
(Univ Prishtines, 2016)
The aim of this paper is to determine and investigate the continued fractions expansions of wd for the real quadratic number fields Q(root d) for which the period has constant elements that are completely equal to 2 (except ...
A computational technique for determining the fundamental unit in explicit types of real quadratic number fields
(Inst Advanced Science Extension, 2017)
In real quadratic number field Q (root d), integral basis element is denoted by w(d) = [a(0); a(1), a(2), ... , a(l)(d)(-1), a(l(d))] for the period length l(d). The fundamental unit epsilon(d) of real quadratic number ...
An Algorithm for Explicit Form of Fundamental Units of Certain Real Quadratic Fields and Period Eight
(European Journal Pure & Applied Mathematics, 2015)
In this paper, we have given an explicit formulation to determine the form of the fundamental units of certain real quadratic number fields. This new algorithm for such quadratic fields is first in the literature and it ...
On The Fundamental Units of Certain Real Quadratic Number Fields
(2017)
In this paper, we consider the real quadratic fields Q^ h d where d is a square free positive integer congruent to 1(mod4). We constructthe parametrization of d which correspond to some types of real quadratic fields ...
On the system of double equations with three unknowns d
(Semnan Univ, 2021)
The system of double equations with three unknowns given by d + ay + bx + cx(2) = z(2), y + z = x(2) is analysed for its infinitely many non-zero distinct integer solutions. Different sets of integer solutions have been ...
ON THE SOME PARTICULAR SETS
(Kırklareli Üniversitesi, 2016)
For ?? an integer, a ???? set is defined as a set of ?? positive integers with the property that the product of its any two distinct element increased by ?? is a perfect square integer.In this study, the certain special ...
NOTES ON ESPECIAL CONTINUED FRACTION EXPANSIONS AND REAL QUADRATIC NUMBER FIELDS
(Kırklareli Üniversitesi, 2016)
The primary purpose of this paper is to classify real quadratic fields Q(?d) whichinclude the form of specific continued fraction expansion of integral basis element ???? forarbitrary period length ? = ?(??) where d ? ...