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Congruence of Ankeny–Artin–Chowla type for cyclic fields of prime degree l

Published online by Cambridge University Press:  24 October 2008

Stanislav Jakubec
Stanislav Jakubec
Affiliation:
Mathematical Institute of Slavak Academy of Sciences, Stefanikova 49, 814 73 Bratislava, Czechoslovakia
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Extract

Ankeny–Artin–Chowla obtained several congruences for the class number hk of a quadratic field K, some of which were also obtained by Kiselev. In particular, if the discriminant of K is a prime number p ≡ 1 (mod 4) and ε = t + u √p/2 is the fundamental unit of K, then

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 1 , January 1996 , pp. 17 - 22
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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