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Class Numbers of Real Quadratic Fields, Continued Fractions, Reduced Ideals, Prime-Producing Quadratic Polynomials and Quadratic Residue Covers

Published online by Cambridge University Press:  20 November 2018

S. Louboutin ,
R. A. Mollin  and
H. C. Williams
S. Louboutin
Affiliation:
University of Caen, France
R. A. Mollin
Affiliation:
University of Calgary, Canada
H. C. Williams
Affiliation:
University of Manitoba, Canada
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Abstract

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In this paper we consider the relationship between real quadratic fields, their class numbers and the continued fraction expansion of related ideals, as well as the prime-producing capacity of certain canonical quadratic polynomials. This continues and extends work in [10]–[31] and is related to work in [3]–[4].

Keywords

11R1111R0911R29
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 4 , 01 August 1992 , pp. 824 - 842
Copyright
Copyright © Canadian Mathematical Society 1992

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