Proceedings of the Japan Academy, Series A, Mathematical Sciences

Orders in quadratic fields, I

R. A. Mollin

Full-text: Open access

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 69, Number 3 (1993), 45-48.

Dates
First available in Project Euclid: 19 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195511505

Digital Object Identifier
doi:10.3792/pjaa.69.45

Mathematical Reviews number (MathSciNet)
MR1222820

Zentralblatt MATH identifier
0795.11056

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

Citation

Mollin, R. A. Orders in quadratic fields, I. Proc. Japan Acad. Ser. A Math. Sci. 69 (1993), no. 3, 45--48. doi:10.3792/pjaa.69.45. https://projecteuclid.org/euclid.pja/1195511505


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References

  • [1] H. Cohn: A Second Course in Number Theory. Wiley, New York (1962).
  • [2] J S. Louboutin: Continued fractions and real quadratic fields. J. Number Theory, 30, 167-176 (1988).
  • [3] S. Louboutin, R. A. Mollin, and H. C. Williams: Class numbers of real quadratic fields, continued fractions, reduced ideals, prime-producing quadratic polynomials, and quadratic residue covers. Can. J. Math., 44, 824-842 (1992).
  • [4] S. Louboutin, R. A. Mollin, and H. C. Williams: Class groups of exponent two in real quadratic fields (to appear: Proceedings of the third Canadian Number Theory Association Conference 1991, Oxford University Press).

See also

  • Part II: R. A. Mollin, L.-C. Zhang. Orders in quadratic fields, II. Proc. Japan Acad. Ser. A Math. Sci., Volume 69, Number 9 (1993), 368--371.
  • Part III: R. A. Mollin. Orders in quadratic fields, III. Proc. Japan Acad. Ser. A Math. Sci., Volume 70, Number 6 (1994), 176--181.
  • Part IV: R. A. Mollin. Orders in quadratic fields, IV. Proc. Japan Acad. Ser. A Math. Sci., Volume 71, Number 7 (1995), 131--133.
  • Part V: R. A. Mollin. Orders in quadratic fields, V. Proc. Japan Acad. Ser. A Math. Sci., Volume 71, Number 8 (1995), 182--183.