Pacific Journal of Mathematics

Fundamental units and cycles in the period of real quadratic number fields. II.

Leon Bernstein

Article information

Source
Pacific J. Math., Volume 63, Number 1 (1976), 63-78.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102867567

Mathematical Reviews number (MathSciNet)
MR0409412

Zentralblatt MATH identifier
0335.10011

Subjects
Primary: 12A45
Secondary: 12A25

Citation

Bernstein, Leon. Fundamental units and cycles in the period of real quadratic number fields. II. Pacific J. Math. 63 (1976), no. 1, 63--78. https://projecteuclid.org/euclid.pjm/1102867567


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References

  • [1] L. Bernstein, The Jacobi-Perron Algorithm, Its Theory and Application,Lecture Notes in Mathematics, 207, Springer-Verlag, 1-160.
  • [2] L. Bernstein, Einheitenberedinungin Kubischen K'rpern mittels des Jacobi-Perronschen Algorithmusaus der Eechenanlage, J. f. d. reine angew. Math. Band, 244 (1970), 201-220. 3 1Periodicity and Units in Quadratic Number Fields, submitted.
  • [4] G. Degert, Uber die Bestimmungder Grundeinheitgewisser reell-quadratischer Zahlkrper, Hamburger Math. Abh., Bd. XXII, (1958), 92-97. 5.0. Perron, Die Lehre von den Kettenbrchen, Zweite verbesserte Auflage, Chelsea Publ. Co., New York, I-XII + 1-524.
  • [6] Y. Yamamoto, Real quadratic number fields with large fundamental units, Osaka J. Math., 8 No. 2, (1971),261-271.
  • [7] H. Yokoi, Units and class numbers of real Quadratic fields, Nagoya Math. J. 37 (1970), 61-65.
  • [8] H. Zassenhaus, On the units of orders, J. Algebera, 20 (1972),368-395.

See also

  • I : Leon Bernstein. Fundamental units and cycles in the period of real quadratic number fields. I. Pacific Journal of Mathematics volume 63, issue 1, (1976), pp. 37-61.