Class number 2 criteria for real quadratic fields of Richaud-Degert type

Abstract

In this paper we continue the method of a previous paper and get various class number 2 criteria for real quadratic fields of the Richaud-Degert type. In the appendix, as an application of our method, we construct real quadratic fields of class number divisible by n, where n is any positive integer. (C) 1997 Academic Press.