On the class number formula of certain real quadratic fields
Résumé
In this note we give an alternate expression of class number formula for real quadratic fields with discriminant d≡5mod8.
%Dirichlet's classical class number formula for real quadratic fields expresses `class number' in somewhat `transcend' manner, which was simplified by P. Chowla in the special case when the discriminant d=p≡5mod8 is a prime. We use another form of class number formula and transform it using Dirichlet's 1/4-th character sums. Our result elucidates other generalizations of the class number formula by Mitsuhiro, Nakahara and Uhera for general real quadratic fields.
Domaines
Mathématiques [math]Origine | Accord explicite pour ce dépôt |
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