Proceedings of the Japan Academy, Series A, Mathematical Sciences

On a conjecture of Ono on real quadratic fields

Ming-Guang Leu

Full-text: Open access

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 63, Number 8 (1987), 323-326.

Dates
First available in Project Euclid: 19 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195513574

Digital Object Identifier
doi:10.3792/pjaa.63.323

Mathematical Reviews number (MathSciNet)
MR931249

Zentralblatt MATH identifier
0659.12004

Subjects
Primary: 11R11: Quadratic extensions
Secondary: 11R29: Class numbers, class groups, discriminants

Citation

Leu, Ming-Guang. On a conjecture of Ono on real quadratic fields. Proc. Japan Acad. Ser. A Math. Sci. 63 (1987), no. 8, 323--326. doi:10.3792/pjaa.63.323. https://projecteuclid.org/euclid.pja/1195513574


Export citation

References

  • [1] H. Heilbronn and E. H. Linfoot: On the imaginary quadratic corpora of class-number one. Quart. J. Math., V. 5, pp. 293-301 (1934).
  • [2] H. K. Kim, M.-G. Leu and T. Ono: On two conjectures on real quadratic fields. Proc. Japan Acad., 63A, 222-224 (1987).
  • [3] H. M. Stark: A complete determination of the complex quadratic fields of class-number one. Michigan Math. J., 14, 1-27 (1967).
  • [4] T. Tatuzawa: On a theorem of Siegel. Japan. J. Math., 21, 163-178 (1951).
  • [5] H. Yokoi: Class-number one problem for certain kind of real quadratic fields. Proc. International Conference on Class Numbers and Fundamental Units of Algebraic Number Fields, June 24-28, 1986, Katata, Japan, pp. 125-137.