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The Parity Distribution of Traces in Imaginary Quadratic Fields

Published online by Cambridge University Press:  20 November 2018

D. S. Dummit
D. S. Dummit*
Affiliation:
Department of Mathematics Concordia University—Loyola Campus Montreal, Quebec, H4B 1R6.
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Abstract

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Computations of the Iwasawa λ -invariant for imaginary quadratic fields showed a discrepancy in the proportion of even and odd traces of certain integers from these imaginary quadratic fields. This paper shows that such a discrepancy is in some sense to be expected and that the proportion of even and odd traces of principal generators of powers of prime ideals in imaginary quadratic fields is related to the 3-primary component of the class group.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 2 , 01 June 1991 , pp. 196 - 201
Copyright
Copyright © Canadian Mathematical Society 1991

References

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