Pairs of polynomials small at a number to certain algebraic powers

W. Dale Brownawell

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1975-1976)

  • Volume: 17, Issue: 1, page 1-12

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Brownawell, W. Dale. "Pairs of polynomials small at a number to certain algebraic powers." Séminaire Delange-Pisot-Poitou. Théorie des nombres 17.1 (1975-1976): 1-12. <http://eudml.org/doc/110910>.

@article{Brownawell1975-1976,
author = {Brownawell, W. Dale},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
language = {eng},
number = {1},
pages = {1-12},
publisher = {Secrétariat mathématique},
title = {Pairs of polynomials small at a number to certain algebraic powers},
url = {http://eudml.org/doc/110910},
volume = {17},
year = {1975-1976},
}

TY - JOUR
AU - Brownawell, W. Dale
TI - Pairs of polynomials small at a number to certain algebraic powers
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1975-1976
PB - Secrétariat mathématique
VL - 17
IS - 1
SP - 1
EP - 12
LA - eng
UR - http://eudml.org/doc/110910
ER -

References

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  1. [1] Brownawell ( W.D.). - Gel'fond's method for algebraic independence, Trans. Amer. math. Soc., t. 210, 1975, p. 1-26. Zbl0312.10022MR382181
  2. [2] Brownawell ( W.D.). - Algebraic independence of cubic powers of certain Liouville numbers (to appear). 
  3. [3] Brownawell ( W.D.) and Waldschmidt ( M.). - The algebraic independence of certain numbers to algebraic powers, Acta Arithm., Warszawa, t. 32, 1976, p. 63-71. Zbl0357.10018MR429777
  4. [4] Bundschuh ( P.). - Quelques résultats sur les approximations diophantiennes, Séminaire Delange-Pisot-Poitou : Théorie des nombres, 16e année, 1974/75, n° 14, 10 p. Zbl0323.10024MR398997
  5. [5] Čudnovskij ( G.V.). - Algebraic independence of some values of the exponential function, Math. Notes, t. 15, 1974, p. 391-398 ; Zbl0295.10027
  6. et [en russe] Mat. Zametki, t. 15, 1974, p. 661-672. MR357337
  7. [6] Gel'fond ( A.O.). - Transcendental and algebraic numbers [Translated from the Russian (1952) edition], - New York, Dover Publications, 1960. Zbl0090.26103MR111736
  8. [7] Gel'fond ( A.O.) and Fel'dman ( N.I.). - On the measure of mutual transcendence of certain numbers [en russe], Izvest. Akad. Nauk SSSR, t. 14, n° 1 , 1950, p. 493-500. Zbl0038.19301MR40349
  9. [8] Mignotte ( M.) and Waldschmidt ( M.). - Linear forms in two logarithms and Schneider's method (Preprint). 
  10. [9] Smelev ( A.A.). - A. O. Gel'fond's method in the theory of transcendental numbers, Math. Notes, t. 10, 1971, p. 672-678 ; Zbl0254.10028MR297714
  11. et [en russe] Mat. Zametki, t. 10, 1971, p. 415-426. MR297714
  12. [10] Schneider ( Th.). - Einführung in die transzendenten Zahlen. - Berlin, Göttingen, Heidelberg, Springer-Verlag, 1957 (Die Grundlehren der mathematischen Wissenschaften, 83). Zbl0077.04703MR86842
  13. [11] Tijdeman ( R.). - On the algebraic independence of certain numbers, Koninkl. nederl. Akad. Wetensch, Proc., Series A, t. 74, 1971, p. 146-162 ; et Indag. Math., t. 33, 1971, p. 146-162. Zbl0212.07103MR294264
  14. [12] 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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