A Remark on A Fundamental System of Units of Numbers Field of degree 2, 3, 4, and 6.

Volume: 1 Number: 1 April 1, 2013
  • M'hammed Ziane
EN TR

A Remark on A Fundamental System of Units of Numbers Field of degree 2, 3, 4, and 6.

Abstract

Let where and . The integer is always written as where is a non-zero positive integer; assuming square-free, we exhibit a fundamental system of units for families of pure fields including a family already given by H.-J. Stender

Keywords

References

  1. L. Bernstein und H. Hasse, An explicit formula for the units of an algebraic number field of degree , Pac. J. Math. 30 (1969), 293-365.
  2. J. Buchmann, and Hugh C. Williams, A key-exchange system based on real quadratic fields, in Brassard (1998), pp. 335-343.
  3. R. Dedekind, Über die Anzahl der Idealklassen in reinen kubischen Zahlk, J. reine angew. Math. 121 (1900), 40-123.
  4. G. Frei and C. Levesque, On an independent system of units in the field where , Abh. Math. Seminar Univ. Hamburg 51 (1980), 160-163.
  5. V. Guruswami, Construction of codes from number fields, (2003).
  6. F. Halter-Koch und H.-J. Stender, Unabhangige Einheitensysteme für eine allgeme ne Klasse algebra sc er Za lkörper, Abh. Math. Seminar Univ. Hamburg 42 (1974), 33-40.
  7. T. Nagell, On a special class of diophantine equations of the second degree, Arkiv. f. Mat. 3 (1954), 51-65.
  8. T. Nagell, Contributions to the theory of a category of diophantine equations of the second degree with two unknowns, Nova Acta Reg. Soc. Scient. Upsaliensis, Ser. IV, 16, No. 2 (1955), 1-38.

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

M'hammed Ziane This is me

Publication Date

April 1, 2013

Submission Date

March 13, 2015

Acceptance Date

-

Published in Issue

Year 2013 Volume: 1 Number: 1

APA
Ziane, M. (2013). Universite Mohammed Premier, Faculte des Sciences,Departement de Math. et Info., Laboratoire "ACSA",60000 Oujda MAROC. New Trends in Mathematical Sciences, 1(1), 55-73. https://izlik.org/JA49PT72UT
AMA
1.Ziane M. Universite Mohammed Premier, Faculte des Sciences,Departement de Math. et Info., Laboratoire "ACSA",60000 Oujda MAROC. New Trends in Mathematical Sciences. 2013;1(1):55-73. https://izlik.org/JA49PT72UT
Chicago
Ziane, M’hammed. 2013. “Universite Mohammed Premier, Faculte Des Sciences,Departement de Math. Et Info., Laboratoire ‘ACSA’,60000 Oujda MAROC”. New Trends in Mathematical Sciences 1 (1): 55-73. https://izlik.org/JA49PT72UT.
EndNote
Ziane M (April 1, 2013) Universite Mohammed Premier, Faculte des Sciences,Departement de Math. et Info., Laboratoire "ACSA",60000 Oujda MAROC. New Trends in Mathematical Sciences 1 1 55–73.
IEEE
[1]M. Ziane, “Universite Mohammed Premier, Faculte des Sciences,Departement de Math. et Info., Laboratoire ‘ACSA’,60000 Oujda MAROC”, New Trends in Mathematical Sciences, vol. 1, no. 1, pp. 55–73, Apr. 2013, [Online]. Available: https://izlik.org/JA49PT72UT
ISNAD
Ziane, M’hammed. “Universite Mohammed Premier, Faculte Des Sciences,Departement de Math. Et Info., Laboratoire ‘ACSA’,60000 Oujda MAROC”. New Trends in Mathematical Sciences 1/1 (April 1, 2013): 55-73. https://izlik.org/JA49PT72UT.
JAMA
1.Ziane M. Universite Mohammed Premier, Faculte des Sciences,Departement de Math. et Info., Laboratoire "ACSA",60000 Oujda MAROC. New Trends in Mathematical Sciences. 2013;1:55–73.
MLA
Ziane, M’hammed. “Universite Mohammed Premier, Faculte Des Sciences,Departement de Math. Et Info., Laboratoire ‘ACSA’,60000 Oujda MAROC”. New Trends in Mathematical Sciences, vol. 1, no. 1, Apr. 2013, pp. 55-73, https://izlik.org/JA49PT72UT.
Vancouver
1.M’hammed Ziane. Universite Mohammed Premier, Faculte des Sciences,Departement de Math. et Info., Laboratoire "ACSA",60000 Oujda MAROC. New Trends in Mathematical Sciences [Internet]. 2013 Apr. 1;1(1):55-73. Available from: https://izlik.org/JA49PT72UT