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Class number one criteria for real quadratic fields, I

Class number one criteria for real quadratic fields, I

In [5] we established criteria for Q(/-) to have class number, h(n), equal to one when n=m+l is square-free.Portions of this result were rediscovered by Yokoi [15] and Louboutin [4], both of whom also found similar criteria for square-free integers of the form n--m+4.It is the purpose of this paper …