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The fundamental unit and class number one problem of real quadratic fields with prime discriminant

Published online by Cambridge University Press:  22 January 2016

Hideo Yokoi
Hideo Yokoi*
Affiliation:
Department of Mathematics, College of General Education, Nagoya University, Chikusa-ku, Nagoya 464-01, Japan
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Class number one problem for imaginary quadratic fields was solved in 1966 by A. Baker and H.M. Stark independently. However, the problem for real quadratic fields is still unsolved. It seems to us that one of the most essential difficulties of the problem for real quadratic fields comes from deep connection of the class number with the fundamental unit.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 120 , December 1990 , pp. 51 - 59
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990

References

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