The p-adic Hayman conjecture when n=2

作者：Escassut Alain^*; Ojeda Jacqueline

来源：Complex Variables and Elliptic Equations, 2014, 59(10): 1451-1455.

DOI：10.1080/17476933.2013.854347

• p-adic meromorphic functions
• value distribution
• exceptional values

Let IK be a complete ultrametric algebraically closed field of characteristic 0. According to the p-adic Hayman conjecture, given a transcendental meromorphic function f in IK, for each n is an element of IN*, f(n) f%26apos; takes every value b not equal 0 infinitely many times. It was proven by the second author for n %26gt;= 3. Here, we prove it for n = 2 by using properties of meromorphic functions having finitely many multiple poles.

• 出版日期2014