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On Uniqueness Polynomials and Bi-URS for p-adic Meromorphic Functions

โœ Scribed by Ha Huy Khoai; Ta Thi Hoai An

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
134 KB
Volume
87
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

Let W be an algebraically closed field of characteristic zero, and let K be an algebraically closed field of characteristic zero, complete for an ultrametric absolute value. A(K) will denote the ring of entire functions in K and M(K) will denote the field of meromorphic functions in K. In this paper we give some classes of uniqueness polynomials for M(K) and show the existence of a bi-URS for M(K) of the form ([a 1 , a 2 , a 3 , a 4 ], [|]). Also a sufficient condition of uniqueness range sets for M(K) in terms of uniqueness polynomials is given.

๐Ÿ“œ SIMILAR VOLUMES

Urs, Ursim, and Non-Urs for p-adic Funct
Urs, Ursim, and Non-Urs for p-adic Functions and Polynomials: Volume 75, Number 1 (1999), pages 133โ€“144
โœ Alain Escassut; Labib Haddad; Robert Vidal ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 77 KB

Two abstraction gaps appeared, not in the statement of the theorems, which are correct, but in the statement of Lemma J (p. 138) and in the proof of Theorem 1 (pp. 138 141). First, (due to an automatic correction in references), Second, a factor 2 is missing before the expression , both in Lemma