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

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.