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
Access Full Article
topHow to cite
topBombieri, 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] A. Baker, Rational approximations to 3√2 and other algebraic numbers, Quart. J. Math. Oxford15 (1964), 375-383. Zbl0222.10036
- [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] E. Bombieri, On Weil's "Théorème de Décomposition", Amer. J. Math.105 (1983), 295-308. Zbl0516.12009MR701562
- [4] E. Bombieri - J. Vaaler, On Siegel's lemma, Invent. math.73 (1983), 11-32; Addendum, ibid75 (1984), 177. Zbl0533.10030MR707346
- [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] 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] 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] P. Debes, G-fonctions et théorème d'irréductibilité de Hilbert, Acta ArithmeticaXLVII (1986), 371-402. Zbl0565.12012MR884733
- [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] D. Mumford, "Curves and Their Jacobians", The Univ. of Michigan Press, Ann Arbor,1976. Zbl0316.14010MR419430
- [11] J.-P. Serre, "Lectures on the Mordell-Weil theorem, Aspects of Mathematics", Vieweg & Sohn, Braunschweig, 1989. Zbl0676.14005MR1757192
- [12] L. Szpiro - E. Ullmo - S. Zhang, Equidistribution des petits points, Invent. Math.127 (1997), 337-347. Zbl0991.11035MR1427622
- [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.
- [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
- [3] A. Schinzel, On some problems of the arithmetical theory of continued fractions II, Acta Arith.VII (1962), 287-298. Zbl0112.28001MR139566
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.