van den Dries, Lou A specialization theorem for p-adic power series converging on the closed unit disc. (English) Zbl 0511.12018 J. Algebra 73, 613-624 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 Documents 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.) Keywords:p-adic power series; Washnitzer-Monsky ring; Hensel type lemma; Weierstrass preparation theorem; specialization property; system of polynomial equations; conjecture by Lang; power series over non complete ground fields × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Amice, Y., Les nombres \(p\)-adiques (1975), Presse Universitaire de France: 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: Springer-Verlag Berlin/Heidelberg/New York · Zbl 0435.12001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.