Siegel's lemma, Padé approximations and jacobians

Enrico Bombieri; Paula B. Cohen

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1997)

  • Volume: 25, Issue: 1-2, page 155-178
  • ISSN: 0391-173X

How to cite

top

Bombieri, Enrico, and Cohen, Paula B.. "Siegel's lemma, Padé approximations and jacobians." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 25.1-2 (1997): 155-178. <http://eudml.org/doc/84282>.

@article{Bombieri1997,
author = {Bombieri, Enrico, Cohen, Paula B.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1-2},
pages = {155-178},
publisher = {Scuola normale superiore},
title = {Siegel's lemma, Padé approximations and jacobians},
url = {http://eudml.org/doc/84282},
volume = {25},
year = {1997},
}

TY - JOUR
AU - Bombieri, Enrico
AU - Cohen, Paula B.
TI - Siegel's lemma, Padé approximations and jacobians
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1997
PB - Scuola normale superiore
VL - 25
IS - 1-2
SP - 155
EP - 178
LA - eng
UR - http://eudml.org/doc/84282
ER -

References

top
  1. [1] A. Baker, Rational approximations to 3√2 and other algebraic numbers, Quart. J. Math. Oxford15 (1964), 375-383. Zbl0222.10036
  2. [2] E. Bombieri, On G-functions, in "Recent Progress in Analytic Number Theory ", H. Halberstam and C. Hooley (ed.), Academic Press, 1981, Vol. 2, 1-67. Zbl0461.10031MR637359
  3. [3] E. Bombieri, On Weil's "Théorème de Décomposition", Amer. J. Math.105 (1983), 295-308. Zbl0516.12009MR701562
  4. [4] E. Bombieri - J. Vaaler, On Siegel's lemma, Invent. math.73 (1983), 11-32; Addendum, ibid75 (1984), 177. Zbl0533.10030MR707346
  5. [5] E. Bombieri - U. Zannier, Heights of algebraic points on subvarieties of abelian varieties, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (IV) 23 (1996), 779-792. Zbl0897.11020MR1469574
  6. [6] D.V. Chudnovsky - G.V. Chudnovsky, Padé approximations to solutions of linear differential equations and applications to diophantine analysis, Springer Lecture Notes in Math.1052 (1984), 85-167. Zbl0536.10029MR750663
  7. [7] P. Debes, Quelques remarques sur un article de Bombieri concernant le Théorème de Décomposition de Weil, Amer. J. Math.107 (1985), 39-44. Zbl0563.12010MR778088
  8. [8] P. Debes, G-fonctions et théorème d'irréductibilité de Hilbert, Acta ArithmeticaXLVII (1986), 371-402. Zbl0565.12012MR884733
  9. [9] K. Mahler, Ein Beweis des Thue-Siegelschen Satzes über die Approximation algebraischen Zahlen für binomische Gleichungen, Math. Annalen105 (1931), 267-276. Zbl0002.18401MR1512715JFM57.0242.02
  10. [10] D. Mumford, "Curves and Their Jacobians", The Univ. of Michigan Press, Ann Arbor,1976. Zbl0316.14010MR419430
  11. [11] J.-P. Serre, "Lectures on the Mordell-Weil theorem, Aspects of Mathematics", Vieweg & Sohn, Braunschweig, 1989. Zbl0676.14005MR1757192
  12. [12] L. Szpiro - E. Ullmo - S. Zhang, Equidistribution des petits points, Invent. Math.127 (1997), 337-347. Zbl0991.11035MR1427622
  13. [1] N.H. Abel, Über die Integration der Differential-Formel ρdx/√R, wenn R und p ganze Funktionen sind, Journal für die reine und angew. Math.1 (1826), 185-221. Also Sur l'intégration de la formule differentielle ρdx/√R, R et p étant des fonctions entieres, Oeuvres Complètes, Tome Prémier, Christiania1881, 104.-144. 
  14. [2] Y. Hellegouarch - D.L. Mcquillan - R. Paysant-Le Roux, Unités de certain sousanneaux des corps de fonctions algébriques, Acta Arith.XLVIII (1987), 9- 47. Zbl0632.12018MR893459
  15. [3] A. Schinzel, On some problems of the arithmetical theory of continued fractions II, Acta Arith.VII (1962), 287-298. Zbl0112.28001MR139566

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.