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A specialization theorem for p-adic power series converging on the closed unit disc. (English) Zbl 0511.12018

##### MSC:
 12J25 Non-Archimedean valued fields 13B25 Polynomials over commutative rings 13J05 Power series rings 14B12 Local deformation theory, Artin approximation, etc. 13J15 Henselian rings 11S80 Other analytic theory (analogues of beta and gamma functions, $$p$$-adic integration, etc.)
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##### References:
 [1] Amice, Y, LES nombres p-adiques, (1975), Presse Universitaire de France Paris · Zbl 0313.12104 [2] Artin, M, Algebraic approximation of structures over complete local rings, I.H.E.S. publ. math., 36, 23-58, (1969) · Zbl 0181.48802 [3] Becker, J; Denef, J; Lipshitz, L; van den Dries, L, Ultraproducts and approximation in local rings, I, Invent math., 51, 189-203, (1979) · Zbl 0416.13004 [4] Lang, S, On quasi-algebraic closure, Ann. of math., 55, 373-390, (1952) · Zbl 0046.26202 [5] Lang, S, Cyclotomic fields II, (1980), Springer-Verlag Berlin/Heidelberg/New York · Zbl 0435.12001
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