On The Fundamental Units of Certain Real Quadratic Number Fields
Yıl: 2017 Cilt: 7 Sayı: 1 Sayfa Aralığı: 160 - 164 Metin Dili: İngilizce DOI: 10.7212/zkufbd.v1i1.627 İndeks Tarihi: 01-04-2019
On The Fundamental Units of Certain Real Quadratic Number Fields
Öz: 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 including a specific kind of continued fractionexpansion. Then, we determine the explicit representation of fundamental unit and obtain some results on Yokoi’s invariants. Besides,we give several tables for which satisfy the obtained results. In this paper, the recent results of the paper (Özer 2016a) have also beenextended and completed in the case of d≡1(mod4).
Anahtar Kelime: Bazı Reel Kuadratik Sayı Cisimlerinin Temel Birimleri Üzerine
Öz: Bu makalede, d, (mod4)’e göre 1’e denk olan kare çarpansız bir pozitif tamsayı olmak üzere Q^ h d reel kuadratik cisimleri göz önüne almaktayız. Sürekli kesir açılımının özel bir çeşidini içeren reel kuadratik sayı cisimlerinin bazı tiplerine karşılık gelen d nin parametrik ifade edilişini belirlemekteyiz. Daha sonra, temel birimin kesin gösterimini belirlemekte ve Yokoi’nin değişmezleri üzerine bazı sonuçlar elde etmekteyiz. Buna ek olarak, elde edilen sonuçları sağlayan bazı tablolar vermekteyiz. Bu makalede ayrıca d≡1(mod4) olması durumunda (Özer 2016a) makalesinde elde edilen sonuçlar tamamlanmakta ve genişletilmektedir.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | ÖZER Ö (2017). On The Fundamental Units of Certain Real Quadratic Number Fields. , 160 - 164. 10.7212/zkufbd.v1i1.627 |
| Chicago | ÖZER ÖZEN On The Fundamental Units of Certain Real Quadratic Number Fields. (2017): 160 - 164. 10.7212/zkufbd.v1i1.627 |
| MLA | ÖZER ÖZEN On The Fundamental Units of Certain Real Quadratic Number Fields. , 2017, ss.160 - 164. 10.7212/zkufbd.v1i1.627 |
| AMA | ÖZER Ö On The Fundamental Units of Certain Real Quadratic Number Fields. . 2017; 160 - 164. 10.7212/zkufbd.v1i1.627 |
| Vancouver | ÖZER Ö On The Fundamental Units of Certain Real Quadratic Number Fields. . 2017; 160 - 164. 10.7212/zkufbd.v1i1.627 |
| IEEE | ÖZER Ö "On The Fundamental Units of Certain Real Quadratic Number Fields." , ss.160 - 164, 2017. 10.7212/zkufbd.v1i1.627 |
| ISNAD | ÖZER, ÖZEN. "On The Fundamental Units of Certain Real Quadratic Number Fields". (2017), 160-164. https://doi.org/10.7212/zkufbd.v1i1.627 |
| APA | ÖZER Ö (2017). On The Fundamental Units of Certain Real Quadratic Number Fields. Karaelmas Fen ve Mühendislik Dergisi, 7(1), 160 - 164. 10.7212/zkufbd.v1i1.627 |
| Chicago | ÖZER ÖZEN On The Fundamental Units of Certain Real Quadratic Number Fields. Karaelmas Fen ve Mühendislik Dergisi 7, no.1 (2017): 160 - 164. 10.7212/zkufbd.v1i1.627 |
| MLA | ÖZER ÖZEN On The Fundamental Units of Certain Real Quadratic Number Fields. Karaelmas Fen ve Mühendislik Dergisi, vol.7, no.1, 2017, ss.160 - 164. 10.7212/zkufbd.v1i1.627 |
| AMA | ÖZER Ö On The Fundamental Units of Certain Real Quadratic Number Fields. Karaelmas Fen ve Mühendislik Dergisi. 2017; 7(1): 160 - 164. 10.7212/zkufbd.v1i1.627 |
| Vancouver | ÖZER Ö On The Fundamental Units of Certain Real Quadratic Number Fields. Karaelmas Fen ve Mühendislik Dergisi. 2017; 7(1): 160 - 164. 10.7212/zkufbd.v1i1.627 |
| IEEE | ÖZER Ö "On The Fundamental Units of Certain Real Quadratic Number Fields." Karaelmas Fen ve Mühendislik Dergisi, 7, ss.160 - 164, 2017. 10.7212/zkufbd.v1i1.627 |
| ISNAD | ÖZER, ÖZEN. "On The Fundamental Units of Certain Real Quadratic Number Fields". Karaelmas Fen ve Mühendislik Dergisi 7/1 (2017), 160-164. https://doi.org/10.7212/zkufbd.v1i1.627 |
