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Mollin R. A., Williams, H.C. (1992). On Real Quadratic Fields of Class Number Two, Math. of Comp. 59(200), 625-632.

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Article

A Study on the Fundamental Unit of Certain Real Quadratic Number Fields

1Department of Mathematics, Faculty of Science and Arts, Kırklareli Üniversity, Kırklareli


Turkish Journal of Analysis and Number Theory. 2018, Vol. 6 No. 1, 1-8
DOI: 10.12691/tjant-6-1-1
Copyright © 2018 Science and Education Publishing

Cite this paper:
Özen ÖZER. A Study on the Fundamental Unit of Certain Real Quadratic Number Fields. Turkish Journal of Analysis and Number Theory. 2018; 6(1):1-8. doi: 10.12691/tjant-6-1-1.

Correspondence to: Özen  ÖZER, Department of Mathematics, Faculty of Science and Arts, Kırklareli Üniversity, Kırklareli. Email: ozenozer39@gmail.com

Abstract

In this paper, we consider the certain types of real quadratic fields where is a square free positive integer. We obtain new parametric representation of the fundamental unit for such types of fields. Also, we get a fix on Yokoi’s invariants as well as class numbers and support all results with tables.

Keywords