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On Discriminants of Binary Quadratic Forms with a Single Class in Each Genus

Published online by Cambridge University Press:  20 November 2018

S. Chowla  and
W. E. Briggs
S. Chowla
Affiliation:
University of Colorado
W. E. Briggs
Affiliation:
University of Colorado
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Consider the classes of positive, primitive binary quadratic forms ax2 + bxy + cy2 of discriminant — Δ = d = b2 − 4ac < 0. Dickson (2, p. 89) lists 101 values of A such that — Δ is a discriminant having a single class in each genus. The largest value given is 7392, and Swift (7) has shown that there are no more up to 107.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 463 - 470
Copyright
Copyright © Canadian Mathematical Society 1954

References

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