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On the class number of a unit lattice over a ring of real quadratic integers

Published online by Cambridge University Press:  22 January 2016

Yoshio Mimura
Yoshio Mimura*
Affiliation:
Department of Mathematics, Kobe University, Nada-ku, Kobe 657, Japan
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Let K be a totally real algebraic number field. In a positive definite quadratic space over K a lattice En is called a unit lattice of rank n if En has an orthonormal basis {e1 …, en}. The class number one problem is to find n and K for which the class number of En is one. Dzewas ([1]), Nebelung ([3]), Pfeuffer ([6], [7]) and Peters ([5]) have settled this problem.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 92 , December 1983 , pp. 89 - 106
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

References

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