@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}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {128}, number = {4}, year = {2000}, doi = {10.24033/bsmf.2383}, mrnumber = {2001k:11134}, zbl = {01584207}, language = {en}, url = {http://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 - http://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 http://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, Volume 128 (2000) no. 4, pp. 585-598. doi : 10.24033/bsmf.2383. http://www.numdam.org/articles/10.24033/bsmf.2383/
[BS] Continued fractions of algebraic power series in characteristic 2, Ann. of Math., t. 103, 1976, p. 593-610. | MR | Zbl
, . -[K] Geometric height inequalities and the Kodaira-Spencer map, Compositio Math., t. 105, 1997, p. 43-54. | MR | Zbl
. -[LdM1] Thue's theorem in positive characteristic, J. reine angew. Math., t. 473, 1996, p. 195-206. | MR | Zbl
, . -[LdM2] Differential equations and Diophantine approximation in positive characteristic, Monatshefte Math., t. 128, 1999, p. 1-6. | MR | Zbl
, . -[M] On a theorem of Liouville in fields of positive characteristic, Can. J. Math., t. 1, 1949, p. 397-400. | MR | Zbl
. -[O1] An effective lower bound on the diophantine approximation of algebraic functions by rational functions, Mathematika, t. 20, 1973, p. 4-15. | MR | Zbl
. -[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. | MR | Zbl
. -[Sc1] On Osgood's effective Thue theorem for algebraic functions, Comm. Pure Applied Math., t. 29, 1976, p. 759-773. | MR | Zbl
. -[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. | MR | Zbl
. -[T] Diophantine approximation exponents and continued fractions for algebraic power series, J. Number Theory, t. 79, 1999, p. 284-291. | MR | Zbl
. -[V1] Diophantine approximation in positive characteristic, Periodica Math. Hungarica, t. 19, 1988, p. 217-225. | MR | Zbl
. -[V2] Diophantine approximation in characteristic p, Monatsh. Math., t. 119, 1995, p. 321-325. | MR | Zbl
. -[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. | MR | Zbl
. -[Voj1] Diophantine approximations and value distribution theory, Lecture Notes in Math., Springer, Berlin, t. 1239, 1987. | MR | Zbl
. -[Voj2] On algebraic points on curves, Comp. Math., t. 78, 1991, p. 29-36. | Numdam | MR | Zbl
. -Cited by Sources: