Some results on a special type of real quadratic fields

Show simple item record Ozer, O. Bellaouar, D. 2019-05-08T08:23:11Z 2019-05-08T08:23:11Z 2019
dc.identifier.citation Ozer O. Some results on a special type of real quadratic fields /M.B. Muratbekov, M.M. Muratbekov //Қарағанды универисетінің хабаршысы. Математика сериясы.=Вестник Карагандинского университета. Серия Математика=Bulletin of the Karaganda University. Mathematics Series.-2019.- №1.-Р.48-58 en_US
dc.identifier.issn 2518-7929
dc.identifier.issn 2663–5011
dc.description.abstract In this paper, we determine the real quadratic fields Q( p d) coincide with positive square-free integers d including the continued fraction expansion form of wd = 2 64 a0; 7; 7; : : : ; 7 | {z } `􀀀1 ; a` 3 7 5: 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 ` (d) is a period length of wd for the such type of real quadratic number fields Q( p 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. en_US
dc.language.iso en en_US
dc.publisher Ye.A.Buketov Karaganda State University Publ. en_US
dc.relation.ispartofseries Bulletin of the Karaganda University. Mathematics Series.;№1(93)/2019
dc.subject continued fraction en_US
dc.subject real quadratic fields en_US
dc.subject fundamental unit en_US
dc.subject Yokoi’s invariants en_US
dc.subject integer sequences en_US
dc.subject integer basic element en_US
dc.title Some results on a special type of real quadratic fields en_US
dc.title.alternative Нақты квадраттық өрістің арнаулы түрі бойынша кейбір нәтижелер en_US
dc.title.alternative Некоторые результаты по специальному типу вещественных квадратичных полей en_US
dc.type Article en_US

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