Proceedings of the Japan Academy, Series A, Mathematical Sciences

Explicit representation of fundamental units of some quadratic fields

Koshi Tomita

Full-text: Open access

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 71, Number 2 (1995), 41-43.

Dates
First available in Project Euclid: 19 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195510812

Digital Object Identifier
doi:10.3792/pjaa.71.41

Mathematical Reviews number (MathSciNet)
MR1326797

Zentralblatt MATH identifier
0831.11058

Subjects
Primary: 11R11: Quadratic extensions
Secondary: 11R27: Units and factorization

Citation

Tomita, Koshi. Explicit representation of fundamental units of some quadratic fields. Proc. Japan Acad. Ser. A Math. Sci. 71 (1995), no. 2, 41--43. doi:10.3792/pjaa.71.41. https://projecteuclid.org/euclid.pja/1195510812


Export citation

References

  • [1] T. Azuhata: On the fundamental unit and the class numbers of real quadratic fields. Nagoya Math. J., 95, 125-135 (1984).
  • [2] T. Takagi: ShotO Seisuron Kogi. 2nd ed., KyOritsu, Tokyo (1971) (in Japanese).
  • [3] H. Yokoi: The fundamental unit and class number one problem of real quadratic fields with prime discriminant. Nagoya Math. J.,120, 51-59 (1990).
  • [4] H. Yokoi: The fundamental unit and bounds for class numbers of real quadratic fields. Nagoya Math. J., 124, 181-197 (1991).
  • [5] H. Yokoi: New invariants and class number problem in quadratic fields. Nagoya Math. J., 132, 175-197 (1993).