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Congruence relations of Ankeny-Artin-Chowla type for pure cubic fields

Published online by Cambridge University Press:  22 January 2016

Hiroshi Ito
Hiroshi Ito*
Affiliation:
Department of Mathematics, Nagoya University, Chikusa-ku, Nagoya, 464, Japan
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Ankeny, Artin and Chowla [1] proved a congruence relation among the class number, the fundamental unit of real quadratic fields, and the Bernoulli numbers. Our aim of this paper is to prove similar congruence relations for pure cubic fields. For this purpose, we use the Hurwitz numbers associated with the elliptic curve defined by y2 = 4x3 — 1 instead of the Bernoulli numbers (§ 3).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 96 , December 1984 , pp. 95 - 112
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1984

References

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