Indépendance algébrique de certains nombres de la forme α β et α β 2

Maurice Mignotte

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1974-1975)

  • Volume: 16, Issue: 2, page G1-G5

How to cite

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Mignotte, Maurice. "Indépendance algébrique de certains nombres de la forme $\alpha ^\beta $ et $\alpha ^{\beta ^2}$." Séminaire Delange-Pisot-Poitou. Théorie des nombres 16.2 (1974-1975): G1-G5. <http://eudml.org/doc/110891>.

@article{Mignotte1974-1975,
author = {Mignotte, Maurice},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
language = {fre},
number = {2},
pages = {G1-G5},
publisher = {Secrétariat mathématique},
title = {Indépendance algébrique de certains nombres de la forme $\alpha ^\beta $ et $\alpha ^\{\beta ^2\}$},
url = {http://eudml.org/doc/110891},
volume = {16},
year = {1974-1975},
}

TY - JOUR
AU - Mignotte, Maurice
TI - Indépendance algébrique de certains nombres de la forme $\alpha ^\beta $ et $\alpha ^{\beta ^2}$
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1974-1975
PB - Secrétariat mathématique
VL - 16
IS - 2
SP - G1
EP - G5
LA - fre
UR - http://eudml.org/doc/110891
ER -

References

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  1. [1] Brownawell ( W.D.). - Gel'fond's method for algebraic independence, Trans. Amer. math. Soc. (à paraître). Zbl0312.10022MR382181
  2. [2] Brownawell ( W.D.) and Waldschmidt ( M.). - The algebraic independence of certain numbers to algebraic powers (manuscrit non publié). 
  3. [3] Čudnovskij ( G.V.). - Algebraic independence of some values of the exponential function [en russe] Mat. Zametki, t. 15, 1974, p. 661-672 ; [en anglais] Math. Notes, t. 15, 1974, p. 391-398. Zbl0295.10027
  4. [4] Gel'fond ( A.O.). - Transcendental and algebraic numbers. - New York, Dover Publications, 1960. Zbl0090.26103MR111736
  5. [5] Tijdeman ( R.). - An auxiliary result in the theory of transcendental numbers, J. Number Theory, t. 5, 1973, p. 80-94. Zbl0254.10027MR316395

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