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A Completely General Rabinowi1sch Criterion for Complex Quadratic Fields

Published online by Cambridge University Press:  20 November 2018

R. A. Mollin
R. A. Mollin*
Affiliation:
Mathematics Department, University of Calgary, Calgary, Alberta, T2N 1N4, e-mail:ramollin@math.ucalgary.ca
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Abstract

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We provide a criterion for the class group of a complex quadratic field to have exponent at most 2. This is given in terms of the factorization of a generalized Euler-Rabinowitsch polynomial and has consequences for consecutive distinct initial prime-producing quadratic polynomials which we cite as applications.

Keywords

11R0911R1111R29prime-producing quadraticsclass numberexponentclass group
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 1 , 01 March 1996 , pp. 106 - 110
Copyright
Copyright © Canadian Mathematical Society 1995

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