An application of newton iteration procedure to p-adic differential equations
Groupe de travail d'analyse ultramétrique, 7-8 (1979-1981), Exposé no. 10, 10 p. 
@article{GAU_1979-1981__7-8__A6_0,
     author = {Sibuya, Yasutaka},
     title = {An application of newton iteration procedure to $p$-adic differential equations},
     journal = {Groupe de travail d'analyse ultram\'etrique},
     note = {talk:10},
     pages = {1--10},
     publisher = {Secr\'etariat math\'ematique},
     volume = {7-8},
     year = {1979-1981},
     mrnumber = {628161},
     zbl = {0472.12020},
     language = {en},
     url = {http://archive.numdam.org/item/GAU_1979-1981__7-8__A6_0/}
}
TY  - JOUR
AU  - Sibuya, Yasutaka
TI  - An application of newton iteration procedure to $p$-adic differential equations
JO  - Groupe de travail d'analyse ultramétrique
N1  - talk:10
PY  - 1979-1981
SP  - 1
EP  - 10
VL  - 7-8
PB  - Secrétariat mathématique
UR  - http://archive.numdam.org/item/GAU_1979-1981__7-8__A6_0/
LA  - en
ID  - GAU_1979-1981__7-8__A6_0
ER  - 
%0 Journal Article
%A Sibuya, Yasutaka
%T An application of newton iteration procedure to $p$-adic differential equations
%J Groupe de travail d'analyse ultramétrique
%Z talk:10
%D 1979-1981
%P 1-10
%V 7-8
%I Secrétariat mathématique
%U http://archive.numdam.org/item/GAU_1979-1981__7-8__A6_0/
%G en
%F GAU_1979-1981__7-8__A6_0
Sibuya, Yasutaka. An application of newton iteration procedure to $p$-adic differential equations. Groupe de travail d'analyse ultramétrique, 7-8 (1979-1981), Exposé no. 10, 10 p. http://archive.numdam.org/item/GAU_1979-1981__7-8__A6_0/

[1] Dwork (B.). - On the zeta fonction of a hypersurface. - Paris, Presses universitaires de France, 1962 (Institut des Hautes Etudes Scientifiques, Publications mathématiques, 12, p. 5-68). | Numdam | MR | Zbl

[2] Sibuya (Y.) and Sperber (S.). - Convergence of power séries solutions of p-adic non-linear differential equations, "Proceedings of the conférence on recent advances in differential equations" [1978. Triestre] (to appear). | Zbl

[3] Sibuya (Y.) and Sperber (S.). - Arithmetic properties of power series solutions of algebraic differential equations, Annals of Math. (to appear). | MR | Zbl

[4] Sibuya (Y.) and Sperber (S.). - Arithmetic properties of power sories solutions of algebraic differential equations, Publications de l'IRMA de l'université de Strasbourg (in preparation).

[5] Sibuya (Y.) and Sperber (S.). - Arithmetic properties of power series solutions of algebraic differential equations, "Proceedings of an advanced seminar on singular perturbations and asymptotics" [1980. Madison] (to appear). | MR | Zbl