Une nouvelle minoration de |logα - β|, |α - expβ|, α et β algébriques

Guy Diaz

Acta Arithmetica (1993)

  • Volume: 64, Issue: 1, page 43-57
  • ISSN: 0065-1036

How to cite


Guy Diaz. "Une nouvelle minoration de |logα - β|, |α - expβ|, α et β algébriques." Acta Arithmetica 64.1 (1993): 43-57. <http://eudml.org/doc/206534>.

author = {Guy Diaz},
journal = {Acta Arithmetica},
keywords = {explicit lower bounds; transcendence measure; logarithms; exponentials},
language = {fre},
number = {1},
pages = {43-57},
title = {Une nouvelle minoration de |logα - β|, |α - expβ|, α et β algébriques},
url = {http://eudml.org/doc/206534},
volume = {64},
year = {1993},

AU - Guy Diaz
TI - Une nouvelle minoration de |logα - β|, |α - expβ|, α et β algébriques
JO - Acta Arithmetica
PY - 1993
VL - 64
IS - 1
SP - 43
EP - 57
LA - fre
KW - explicit lower bounds; transcendence measure; logarithms; exponentials
UR - http://eudml.org/doc/206534
ER -


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  11. [R] K. Ramachandra, An easy transcendence measure for e, J. Indian Math. Soc. 51 (1987), 111-116. Zbl0669.10058
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  13. [W1] M. Waldschmidt, A lower bound for linear forms in logarithms, Acta Arith. 37 (1980), 257-283. Zbl0357.10017
  14. [W2] M. Waldschmidt, Transcendence measures for exponentials and logarithms, J. Austral. Math. Soc. Ser. A 25 (1978), 445-465. Zbl0388.10022
  15. [W3] M. Waldschmidt, Transcendance et exponentielles en plusieurs variables, Invent. Math. 63 (1981), 97-127. Zbl0454.10020
  16. [W4] M. Waldschmidt, Nouvelles méthodes pour minorer des combinaisons linéaires de logarithmes de nombres algébriques, Sem. Théorie des Nombres de Bordeaux 3 (1991), 129-185. Zbl0733.11020

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