Browsing by Author "Mollin, Richard A."
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Item Open Access Continued fractions and class number two(2001-01-01) Mollin, Richard A.We use the theory of continued fractions in conjunction with ideal theory (often called the infrastructure) in real quadratic fields to give new class number 2 criteria and link this to acanonical norm-induced quadratic polynomial. By doing so, this provides a real quadratic field analogue of the well-known result by Hendy (1974) for complex quadratic fields. We illustrate withseveral examples.Item Open Access Prime valued polynomials and class numbers of quadratic fields(1990-01-01) Mollin, Richard A.It is the purpose of this paper to give a survey of the relationship between the class number one problem for real quadratic fields and prime-producing quadratic polynomials; culminating in an overview of the recent solution to the class number one problem for real quadratic fields of Richaud-Degert type. We conclude with new conjectures, questions and directions.Item Open Access The Rabinowitsch-Mollin-Williams Theorem Revisited(Hindawi Publishing Corporation, 2009-08-20) Mollin, Richard A.Item Open Access Some generalized continued fractions(1998) Cheng, Kell Hiu-Fai; Mollin, Richard A.Item Open Access The Pell equation and powerful numbers(1988) Walsh, Peter Garth; Mollin, Richard A.