On class number formula for the real quadratic fields
Let \(d\) be the discriminant of a real quadratic number field with fundamental unit \(\varepsilon\), and class number \(h\), and \(\chi\) the associated Dirichlet character. Then the author proves the class number formula \(h = [\sqrt{d}/(2 \log \varepsilon) \cdot \sum_{n=1}^{[d/2]} \chi(n)/n]\).
scientific article; zbMATH DE number 2151776