Let L be a field of characteristic p, and let a, b, c, d ε L(T). Assume that a and b are algebraically independent over Fp. Then for each fixed positive integer n, we prove that there exist at most finitely many λ ε L satisfying f(a(λ)) = c(λ) and g(b(λ)) = d(λ) for some polynomials f, g ε Fpn[Z] such that f(a) ≠ c and g(b) ≠ d. Our result is a characteristic p variant of a related statement proven by Ailon and Rudnick.
|頁（從 - 到）||213-225|
|期刊||New York Journal of Mathematics|
|出版狀態||已發佈 - 2017 二月 20|
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