@article{BSMF_2000__128_4_585_0,
author = {Kim, Minhyoung and Thakur, Dinesh S. and Voloch, Jos\'e Felipe},
title = {Diophantine approximation and deformation},
journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
pages = {585--598},
year = {2000},
publisher = {Soci\'et\'e math\'ematique de France},
volume = {128},
number = {4},
doi = {10.24033/bsmf.2383},
mrnumber = {2001k:11134},
zbl = {01584207},
language = {en},
url = {https://www.numdam.org/articles/10.24033/bsmf.2383/}
}
TY - JOUR AU - Kim, Minhyoung AU - Thakur, Dinesh S. AU - Voloch, José Felipe TI - Diophantine approximation and deformation JO - Bulletin de la Société Mathématique de France PY - 2000 SP - 585 EP - 598 VL - 128 IS - 4 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/bsmf.2383/ DO - 10.24033/bsmf.2383 LA - en ID - BSMF_2000__128_4_585_0 ER -
%0 Journal Article %A Kim, Minhyoung %A Thakur, Dinesh S. %A Voloch, José Felipe %T Diophantine approximation and deformation %J Bulletin de la Société Mathématique de France %D 2000 %P 585-598 %V 128 %N 4 %I Société mathématique de France %U https://www.numdam.org/articles/10.24033/bsmf.2383/ %R 10.24033/bsmf.2383 %G en %F BSMF_2000__128_4_585_0
Kim, Minhyoung; Thakur, Dinesh S.; Voloch, José Felipe. Diophantine approximation and deformation. Bulletin de la Société Mathématique de France, Tome 128 (2000) no. 4, pp. 585-598. doi: 10.24033/bsmf.2383
[BS] , . - Continued fractions of algebraic power series in characteristic 2, Ann. of Math., t. 103, 1976, p. 593-610. | Zbl | MR
[K] . - Geometric height inequalities and the Kodaira-Spencer map, Compositio Math., t. 105, 1997, p. 43-54. | Zbl | MR
[LdM1] , . - Thue's theorem in positive characteristic, J. reine angew. Math., t. 473, 1996, p. 195-206. | Zbl | MR
[LdM2] , . - Differential equations and Diophantine approximation in positive characteristic, Monatshefte Math., t. 128, 1999, p. 1-6. | Zbl | MR
[M] . - On a theorem of Liouville in fields of positive characteristic, Can. J. Math., t. 1, 1949, p. 397-400. | Zbl | MR
[O1] . - An effective lower bound on the diophantine approximation of algebraic functions by rational functions, Mathematika, t. 20, 1973, p. 4-15. | Zbl | MR
[O2] . - Effective bounds on the diophantine approximation of algebraic functions over fields of arbitrary characteristic and applications to differential equations, Indag. Math., t. 37, 1975, p. 104-119. | Zbl | MR
[Sc1] . - On Osgood's effective Thue theorem for algebraic functions, Comm. Pure Applied Math., t. 29, 1976, p. 759-773. | Zbl | MR
[Sc2] . - On continued fractions and diophantine approximation in power series fields, to appear in Acta Arithmetica. | Zbl
[Sc3] . - Diophantine approximation, Lecture Notes in Math., t. 785, Springer, Berlin, 1980. | Zbl | MR
[T] . - Diophantine approximation exponents and continued fractions for algebraic power series, J. Number Theory, t. 79, 1999, p. 284-291. | Zbl | MR
[V1] . - Diophantine approximation in positive characteristic, Periodica Math. Hungarica, t. 19, 1988, p. 217-225. | Zbl | MR
[V2] . - Diophantine approximation in characteristic p, Monatsh. Math., t. 119, 1995, p. 321-325. | Zbl | MR
[V3] . - Diophantine geometry in characteristic p : a survey, in Arithmetic Geometry, F. Catanese, ed., Symposia Mathematica, Cambridge Univ. Press, t. XXXVII, 1997, p. 260-278. | Zbl | MR
[Voj1] . - Diophantine approximations and value distribution theory, Lecture Notes in Math., Springer, Berlin, t. 1239, 1987. | Zbl | MR
[Voj2] . - On algebraic points on curves, Comp. Math., t. 78, 1991, p. 29-36. | Zbl | MR | Numdam
Cité par Sources :







