An application of newton iteration procedure to p-adic differential equations
Groupe de travail d'analyse ultramétrique, Tome 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},
     publisher = {Secr\'etariat math\'ematique},
     volume = {7-8},
     year = {1979-1981},
     zbl = {0472.12020},
     mrnumber = {628161},
     language = {en},
     url = {http://archive.numdam.org/item/GAU_1979-1981__7-8__A6_0/}
}
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UR  - https://zbmath.org/?q=an%3A0472.12020
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Sibuya, Yasutaka. An application of newton iteration procedure to $p$-adic differential equations. Groupe de travail d'analyse ultramétrique, Tome 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 159823 | Zbl 0173.48601

[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 0602.12009

[3] Sibuya (Y.) and Sperber (S.). - Arithmetic properties of power series solutions of algebraic differential equations, Annals of Math. (to appear). | MR 604044 | Zbl 0492.12012

[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 604044 | Zbl 0515.34013