Some results on a special type of real quadratic fields

Autor:	Ö. ¨Özer, D. Bellaouar
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	continued fraction real quadratic fields fundamental unit Yokoi’s invariants integer sequences integer basic element Analysis QA299.6-433 Analytic mechanics QA801-939 Probabilities. Mathematical statistics QA273-280
Zdroj:	Қарағанды университетінің хабаршысы. Математика сериясы, Vol 93, Iss 1 (2019)
Druh dokumentu:	article
ISSN:	2518-7929 2663-5011
DOI:	10.31489/2019m1/48-58
Popis:	In this paper, we determine the real quadratic fields Q(√d ) coincide with positive square - free integers d including the continued fraction expansion form of wd = [a0 ; 7,7,…,7 l-1 , al]. Furthermore, we deal with determining fundamental units and Yokoi’s d -invariants nd and md in the relation to continued fraction expansion of wd where l( d ) is a period length of wd for the such type of real quadratic number fields Q(√d ) . The present paper improve the theory of fundamental unit which generates the unit group of real quadratic fields and also determine the special form of continued fraction expansion of integral basis element in real quadratic fields.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a07610c92570475e9a0aaa1f05afd39b Zobrazit plný text záznamu View record in DOAJ