Approximation measures for logarithms of algebraic numbers

Francesco Amoroso; Carlo Viola

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2001)

  • Volume: 30, Issue: 1, page 225-249
  • ISSN: 0391-173X

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Amoroso, Francesco, and Viola, Carlo. "Approximation measures for logarithms of algebraic numbers." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 30.1 (2001): 225-249. <http://eudml.org/doc/84437>.

@article{Amoroso2001,
author = {Amoroso, Francesco, Viola, Carlo},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {irrationality measure; Padé approximation; saddle point method},
language = {eng},
number = {1},
pages = {225-249},
publisher = {Scuola normale superiore},
title = {Approximation measures for logarithms of algebraic numbers},
url = {http://eudml.org/doc/84437},
volume = {30},
year = {2001},
}

TY - JOUR
AU - Amoroso, Francesco
AU - Viola, Carlo
TI - Approximation measures for logarithms of algebraic numbers
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2001
PB - Scuola normale superiore
VL - 30
IS - 1
SP - 225
EP - 249
LA - eng
KW - irrationality measure; Padé approximation; saddle point method
UR - http://eudml.org/doc/84437
ER -

References

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  1. [AR] K. Alladi - M.L. Robinson, Legendre polynomials and irrationality, J. reine angew. Math.318 (1980), 137-155. Zbl0425.10039MR579389
  2. [D] J. Dieudonné, "Calcul Infinitésimal", Hermann, Paris, 1968. Zbl0155.10001MR226971
  3. [H] M. Hata, C2-saddle method and Beukers' integral, Trans. Amer. Math. Soc.352 (2000), 4557-4583. Zbl0996.11048MR1641099
  4. [R] E. Reyssat, Mesures de transcendance pour les logarithmes de nombres rationnels, In: "Approximations diophantiennes et nombres transcendants", D. Bertrand - M. Waldschmidt (eds.), Progress in Math. 31, Birkhäuser, 1983, pp. 235-245. Zbl0522.10023MR702201
  5. [RV] G. Rhin - C. Viola, On a permutation group related to ζ (2), Acta Arith.77 (1996), 23-56. Zbl0864.11037
  6. [S] W.M. Schmidt, "Diophantine Approximation", Lecture Notes in Mathematics785, Springer-Verlag, 1980. Zbl0421.10019MR568710
  7. [V] C. Viola, Hypergeometric functions and irrationality measures, In: " 'Analytic Number Theory", Y. Motohashi (ed.), London Math. Soc. Lecture Note Series247, Cambridge Univ. Press, 1997, pp. 353-360. Zbl0904.11020MR1695002
  8. [W] M. Waldschmidt, "Nombres Transcendants", Lecture Notes in Mathematics402, Springer-Verlag, 1974. Zbl0302.10030MR360483

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