Entiers algébriques dont les conjugués sont proches du cercle unité

Maurice Mignotte

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1977-1978)

  • Volume: 19, Issue: 2, page 1-6

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Mignotte, Maurice. "Entiers algébriques dont les conjugués sont proches du cercle unité." Séminaire Delange-Pisot-Poitou. Théorie des nombres 19.2 (1977-1978): 1-6. <http://eudml.org/doc/111005>.

@article{Mignotte1977-1978,
author = {Mignotte, Maurice},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {conjugates; algebraic integer; root of unity; ergodic},
language = {fre},
number = {2},
pages = {1-6},
publisher = {Secrétariat mathématique},
title = {Entiers algébriques dont les conjugués sont proches du cercle unité},
url = {http://eudml.org/doc/111005},
volume = {19},
year = {1977-1978},
}

TY - JOUR
AU - Mignotte, Maurice
TI - Entiers algébriques dont les conjugués sont proches du cercle unité
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1977-1978
PB - Secrétariat mathématique
VL - 19
IS - 2
SP - 1
EP - 6
LA - fre
KW - conjugates; algebraic integer; root of unity; ergodic
UR - http://eudml.org/doc/111005
ER -

References

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  1. [1] Blanksby ( P.E.) and Montgomery ( H.L.). - Algebraic integers near the unit circle, Acta Arithm., Warszawa, t. 18, 1971, p. 355-369. Zbl0221.12003MR296021
  2. [2] Callahan ( T.), Newman ( M.) and Sheingorn ( M.). - Fields with large Kronecker constants, J. of number Theory, t. 9, 1977, p. 182-186. Zbl0362.12002MR439799
  3. [3] Dobrowolski ( E.). - Manuscrit non publié. 
  4. [4] Kronecker ( L.). - Zwei Sätze über Gleichungen mit ganzzahligen Coefficienten, J. für reine und angew. Math., t. 53, 1857, p. 173-175. 
  5. [5] Lawton ( W.). - Heights of algebraic numbers and Szegö's theorem, Proc. Amer. math. Soc., t. 49, 1975, p. 47-50. Zbl0306.12002MR376628
  6. [6] Lehmer ( D.H.). - Factorization of certain cyclotomic functions, Annals of Math., Series 2, t. 34, 1933, p. 461-479. Zbl0007.19904MR1503118JFM59.0933.03
  7. [7] Loxton ( J.H.) and Poorten ( A. J. van der). - Multiplicative relations in number fields , Bull Australian math. Soc., t. 16, 1977, p. 83-98, et t. 17, 1977, p. 151-155. Zbl0335.10023MR491537
  8. [8] Mignotte ( M.) et Waldschmidt ( M.). - Linear forms in two logarithms and Schneider's method, Math. Annalen, t. 231, 1978, p. 241-267. Zbl0349.10029MR460247
  9. [9] Smyth ( C.J.). - On the product of the conjugales outside the unit circle of an algebraic integer, Bull. London math. Soc., t. 3, 1971, p. 169-175. Zbl0235.12003MR289451
  10. [10] Stewart ( C.L.). - Algebraic integers whose conjùgates lie near the unit circle, Bull. Soc. math. France, t. 106, 1978 ( à paraître). Zbl0396.12002MR507748
  11. [11] Waldschmidt ( M.). - A lower bound for linear forms in logarithms, Acta Arithm., Warszawa (à paraître). Zbl0357.10017

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