On Uniqueness Polynomials and Bi-URS for p-adic Meromorphic Functions
On Uniqueness Polynomials and Bi-URS for p-adic Meromorphic Functions
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关于p进亚纯函数的唯一性多项式和Bi-URS
DOI：
10.1006/jnth.2000.2591
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发表时间：
2001
影响因子：
0.7
通讯作者：
T. An
中科院分区：
文献类型：
--
作者：
H. Khoai;T. An
设W是特征为零的代数闭域，K是特征为零的代数闭域，对超度量绝对值完备。A（K）表示K中的整函数环，M（K）表示K中的亚纯函数域。本文给出了M（K）的几类唯一性多项式，并证明了M（K）存在形式为（{a1，a2，a3，a4}，{ω}）的双URS.给出了M（K）用唯一性多项式表示的唯一性范围集的一个充分条件。
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 ({a1, a2, a3, a4}, {ω}). Also a sufficient condition of uniqueness range sets for M(K) in terms of uniqueness polynomials is given.