On the simultaneous approximation of a , b and a b

A. Bijlsma

Compositio Mathematica (1977)

  • Volume: 35, Issue: 1, page 99-111
  • ISSN: 0010-437X

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Bijlsma, A.. "On the simultaneous approximation of $a$, $b$ and $a^b$." Compositio Mathematica 35.1 (1977): 99-111. <http://eudml.org/doc/89339>.

@article{Bijlsma1977,
author = {Bijlsma, A.},
journal = {Compositio Mathematica},
language = {eng},
number = {1},
pages = {99-111},
publisher = {Noordhoff International Publishing},
title = {On the simultaneous approximation of $a$, $b$ and $a^b$},
url = {http://eudml.org/doc/89339},
volume = {35},
year = {1977},
}

TY - JOUR
AU - Bijlsma, A.
TI - On the simultaneous approximation of $a$, $b$ and $a^b$
JO - Compositio Mathematica
PY - 1977
PB - Noordhoff International Publishing
VL - 35
IS - 1
SP - 99
EP - 111
LA - eng
UR - http://eudml.org/doc/89339
ER -

References

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  1. [1] A. Baker: Linear forms in the logarithms of algebraic numbers (II). Mathematika14 (1967) 102-107. Zbl0161.05202
  2. [2] P. Bundschuh: Zum Franklin-Schneiderschen Satz. J. Reine Angew. Math.260 (1973) 103-118. Zbl0256.10020MR360481
  3. [3] P.L. Cijsouw: Transcendence measures of exponentials and logarithms of algebraic numbers. Compositio Math.28 (1974) 163-178. Zbl0284.10013MR347744
  4. [4] P.L. Cijsouw and M. Waldschmidt: Linear forms and simultaneous approximations (to appear). Zbl0345.10021MR447130
  5. [5] P. Franklin: A new class of transcendental numbers. Trans. Amer. Math. Soc.42 (1937) 155-182. Zbl0017.15205MR1501918JFM63.0155.02
  6. [6] G.H. Hardy and E.M. Wright: An introduction to the theory of numbers, 4th edition. Oxford University Press, 1960. Zbl0086.25803MR67125
  7. [7] O. Perron: Die Lehre von den Kettenbrüchen. Band I, 3. Auflage. B. G. Teubner, Stuttgart, 1954. Zbl0056.05901MR64172
  8. [8] G. Ricci: Sul settimo problema di Hilbert. Ann. Scuola Norm. Sup. Pisa (2) 4 (1935) 341-372. Zbl0012.24801JFM61.1085.01
  9. [9] TH. Schneider: Einführung in die transzendenten Zahlen. Springer-Verlag, Berlin, 1957. Zbl0077.04703MR86842
  10. [10] A.A. Šmelev: A. O. Gelfond's method in the theory of transcendental numbers (in Russian). Math. Zametki10 (1971) 415-426. English translation: Math. Notes10 (1971) 672-678. Zbl0254.10028MR297714
  11. [11] M. Waldschmidt: Nombres transcendants. Lecture Notes in Mathematics 402. Springer-Verlag, Berlin, 1974. Zbl0302.10030MR360483

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