SOME RESULTS ON THE CLASS NUMBERS OF CERTAIN REAL QUADRATIC FIELDS

Küçük Resim Yok

Tarih

2009

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Pushpa Publishing House

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, we revisit the relations between the fundamental units' coefficients of the real quadratic fields K = Q(root D) and convergents of the continued fraction expansions of W-D. Furthermore, we provide a theorem and obtain some new results on the class numbers of K = Q(root D) by using solvability of the equation x(2) - Dy-2 = sigma(2) and the relations mentioned above.

Açıklama

Anahtar Kelimeler

Real Quadratic Field, Fundamental Unit, Class Number, Continued Fraction Expansion

Kaynak

Jp Journal Of Algebra Number Theory And Applications

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

13

Sayı

1

Künye