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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 ...
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 ...