On class number formula for the real quadratic fields

Let k > 1 be the fundamental discriminant, and let chi(n), epsilon and h be the real primitive character modulo k, the fundamental unit and the class number of the real quadratic field Q(rootk), respectively. And let [x] denote the greatest integer not greater than x. In [3], M.-G. Leu showed h=[rootk/(2logepsilon) Sigma(n=1)(k) chi(n)/n]+1 for all k, and h= [rootk/(2logepsilon) Sigma(n=1)([k/2]) chi(n)/n] in the case knot equalm(2)+4 with m is an element of Z.