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Proof, Disproof and Advances Concerning Certain Conjectures on Real Quadratic Fields

Published online by Cambridge University Press:  20 November 2018

R. A. Mollin  and
H. C. Williams
R. A. Mollin
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N1N4 e-mail: ramollin@acs.ucalgary.ca
H. C. Williams
Affiliation:
Computer Science Department, University of Manitoba, Winnipeg, Manitoba, R3T 2N2 e-mail: hugh_williams@csmailcs.umanitoba.ca
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Abstract

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The purpose of this paper is to address conjectures raised in [2]. We show that one of the conjectures is false and we advance the proof of another by proving it for an infinite set of cases. Furthermore, we give hard evidence as to why the conjecture is true and show what remains to be done to complete the proof. Finally, we prove a conjecture given by S. Louboutin, for Mathematical Reviews, in his discussion of the aforementioned paper.

Keywords

11R1111R2911J70
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 47 , Issue 5 , 01 October 1995 , pp. 1023 - 1036
Copyright
Copyright © Canadian Mathematical Society 1995

References

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