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Classification and Enumeration of Real Quadratic Fields Having Exactly One Non-Inert Prime Less Than a Minkowski Bound

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 T2N 1N4 e-mail:, ramollin@acs.ucalgary.ca
H. C. Williams
Affiliation:
Computer Science Department University of Manitoba Winnipeg, Manitoba R3T2N2 e - mail:, Hugh_Williams@csmail.cs.umanitoba.ca
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Abstract

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We will classify those real quadratic fields K having exactly one noninert prime less than where Δ is the discriminant of K. Moreover, we will list all such K and prove that the list is complete with one possible exceptional value remaining (whose existence would be a counterexample to the Riemann hypothesis).

Keywords

11R1111R2911Y40
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 1 , 01 March 1993 , pp. 108 - 115
Copyright
Copyright © Canadian Mathematical Society 1993

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