On the Gelfond-Feldman measure of algebraic independence

W. Dale Brownawell

Compositio Mathematica (1979)

  • Volume: 38, Issue: 3, page 355-368
  • ISSN: 0010-437X

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Brownawell, W. Dale. "On the Gelfond-Feldman measure of algebraic independence." Compositio Mathematica 38.3 (1979): 355-368. <http://eudml.org/doc/89410>.

@article{Brownawell1979,
author = {Brownawell, W. Dale},
journal = {Compositio Mathematica},
keywords = {Algebraic Independence; Simultaneous Approximation; Transcendence Measure},
language = {eng},
number = {3},
pages = {355-368},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {On the Gelfond-Feldman measure of algebraic independence},
url = {http://eudml.org/doc/89410},
volume = {38},
year = {1979},
}

TY - JOUR
AU - Brownawell, W. Dale
TI - On the Gelfond-Feldman measure of algebraic independence
JO - Compositio Mathematica
PY - 1979
PB - Sijthoff et Noordhoff International Publishers
VL - 38
IS - 3
SP - 355
EP - 368
LA - eng
KW - Algebraic Independence; Simultaneous Approximation; Transcendence Measure
UR - http://eudml.org/doc/89410
ER -

References

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  1. [1] W.D. Brownawell: Gelfond's method for algebraic independence. Trans. A.M.S.210 (1975) 1-26. Zbl0312.10022MR382181
  2. [2] W.D. Brownawell: Pairs of polynomials small at a number to certain algebraic powers, Séminaire DELANGE PISOT POITOU, 17e année (1975/76) n° 11. Zbl0351.10022
  3. [3] W.D. Brownawell: Some remarks on semi-resultants, pp. 205-210, in Advances in Transcendence Theory, A. Baker and D.W. Masser, eds., Academic Press, 1977. Zbl0361.10031MR480370
  4. [4] W.D. Brownawell and M. Waldschmidt: The algebraic independence of certain numbers to algebraic powers. Acta Arith.32 (1977), 63-71. Zbl0357.10018MR429777
  5. [5] G.V. Choodnovsky: Algebraic independence of some values of the exponential function, Mat. Zametki5 (1974) 661-672 [English translation: Math Notes15 (1974) 391-398]. Zbl0295.10027
  6. [6] G.V. Choodnovsky: Analytic methods in diophantine approximations (in Russian), Institute of Mathematics, Ukrainian SSR Academy of Sciences, Preprint IM-74-9, Kiev (1974). MR434973
  7. [7] A.O. Gelfond: Transcendental and Algebraic Numbers, GITTL, Moscow, 1952 [English translation: Dover, New York, 1960]. Zbl0090.26103MR111736
  8. [8] A.O. Gelfond and N.I. Feldman: On the measure of relative transcendence of certain numbers (in Russian), Izv. Akad. Nauk SSSR, Ser. mat.14 (1950) 493-500. Zbl0038.19301MR40349
  9. [9] K. Mahler: An application of Jensen's formula to polynomials, Mathematika7 (1960) 98-100. Zbl0099.25003MR124467
  10. [10] M. Mignotte and M. Waldschmidt: Linear forms in logarithms and Schneider's Method. Math. Ann.231 (1978) 241-267. Zbl0349.10029MR460247
  11. [11] R. Tijdeman: On the algebraic independence of certain numbers, Nederl. Akad. Wet. Proc. Ser.A74= Indag. Math.33 (1971), 146-162. Zbl0212.07103MR294264
  12. [12] R. Tijdeman: An auxiliary result in the theory of transcendental numbers, J. Number Theory5 (1973), 80-94. Zbl0254.10027MR316395

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