On Recurrence Formulae for the Number of Classes of Definite Binary Quadratic Forms

Abstract

Let F(m), (m > 0) denote the number of uneven classes of forms AX² + 2BXY + CY² (i.e. A and B not both even) of determinant - m = B² - AC and with the convention that F(0) = 0 and that the class (A, 0, A) is reckoned as ¹|₂