Prime producing quadratic polynomials and class-number one problem for real quadratic fields
Prime producing quadratic polynomials and class-number one problem for real quadratic fields
Let F--Q(/) (m 0" square-free integer) be a real quadratic field.Denote by h-h(m) and d-d(m) the class number in the wide sense and the discriminant of F, respectively.Recently the following theorem was ob- tained by Yokoi [4] and Louboutin [1]" Theorem 1 (Yokoi-Louboutin).Let p be an odd prime.In case m=4p2+l, …