On Class Numbers of Real Quadratic Fields with Certain Fundamental Discriminants
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
European Journal Pure & Applied Mathematics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let N denote the sets of positive integers and D is an element of N be square free, and let chi(D), h = h (D) denote the non-trivial Dirichlet character, the class number of the real quadratic field K = Q (root D), respectively. Ono proved the theorem in [2] by applying Sturm's Theorem on the congruence of modular form to Cohen's half integral weight modular forms. Later, Dongho Byeon proved a theorem and corollary in [1] by refining Ono's methods. In this paper, we will give a theorem for certain real quadratic fields by considering above mentioned studies. To do this, we shall obtain an upper bound different from current bounds for L(1, chi(D)) and use Dirichlet's class number formula.
Açıklama
Anahtar Kelimeler
Class Number, Real Quadratic Number Field
Kaynak
European Journal Of Pure And Applied Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
8
Sayı
4
