Conjecture de Minkowski sur le corps des complexes

Hassan Saffari

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1963-1964)

  • Volume: 5, page 1-13

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Saffari, Hassan. "Conjecture de Minkowski sur le corps des complexes." Séminaire Delange-Pisot-Poitou. Théorie des nombres 5 (1963-1964): 1-13. <http://eudml.org/doc/110639>.

@article{Saffari1963-1964,
author = {Saffari, Hassan},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
language = {fre},
pages = {1-13},
publisher = {Secrétariat mathématique},
title = {Conjecture de Minkowski sur le corps des complexes},
url = {http://eudml.org/doc/110639},
volume = {5},
year = {1963-1964},
}

TY - JOUR
AU - Saffari, Hassan
TI - Conjecture de Minkowski sur le corps des complexes
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1963-1964
PB - Secrétariat mathématique
VL - 5
SP - 1
EP - 13
LA - fre
UR - http://eudml.org/doc/110639
ER -

References

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  1. [1] Chalk ( John H.H. ) . - Rational approximations in the complex plane, II., J. London math. Soc., t. 31, 1956, p. 216-221. Zbl0072.03901MR77578
  2. [2] Davenport ( H.) and Rogers ( C.A. ) . - Diophantine inequalities with an infinity of solutions, Phil. Trans. royal Soc. London, Series A, t. 242, 1950, p. 311-344. Zbl0036.02604MR38378
  3. [3] Ford ( Lester R.). - On the closeness of approach of complex rational fractions to a complex rational number, Trans. Amer. math. Soc., t. 27, 1925, p. 146-154. Zbl51.0157.03MR1501304JFM51.0157.03
  4. [4] Hlawka ( Edmund). - Über die Approximationen von zwei komplexen inhomogenen Linearformen, Monatsh. für Math., t. 46, 1938, p. 324-334. Zbl0018.20401
  5. [5] Hofreiter ( Nikolaus). - Über die Approximationen von komplexen Zahlen durch Zahlen des Körpers K(i) , Monatsh. für Math., t. 56, 1952, p. 61-74. Zbl0046.04702MR47721
  6. [6] Karanikolov ( Khr). - Sur un théorème de Minkowski et Čebotarev [en russe], Uspekhi Mat. Nauk, t. 18, 1963, n° 3, p. 163-166 ; Math. Reviews, t. 27, 1964, p. 20-21. Zbl0128.04703
  7. [7] Macbeath ( A.M.). - Factorization of matrices and Minkowski's conjecture, Proc. Glasgow math. Assoc., t. 5, 1961, p. 86-89. Zbl0098.26303MR144861
  8. [8] Mahler ( Kurt). - On the product of two complex linear polynomials in two variables, J. London math. Soc., t. 15, 1940, p. 213-236. Zbl0027.15802MR3006
  9. [9] Niven ( I.). - Diophantine approximations. - New York, Interscience Publishers, 1963(Interscience Tracts in pure and applied Mathematics, 14). Zbl0115.04402MR148613
  10. [10] Poitou ( Georges). - Sur l'approximation des nombres complexes par les nombres des corps imaginaires quadratiques ..., Ann. scient. Ec. Norm. Sup., t. 70, 1953, p. 199-265. Zbl0053.02802MR66431
  11. [11] Saffari ( Hassan) . - Problèmes non homogènes de la géométrie des nombres, Séminaire Delange-Pisot : Théorie des nombres, t. 3, 1961/62, n° 6, 18 p. Zbl0115.26602
  12. [12] Saffari ( Hassan) . - Conjecture de Minkowski et la décomposition des matrices, Séminaire Delange-Pisot : Théorie des nombres, t. 4, 1962/63, n° 12, 9 p. Zbl0222.10032

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