On a variant of the Ailon–Rudnick theorem in finite characteristic

Dragos Ghioca, Liang-Chung Hsia, Thomas J. Tucker

研究成果: 雜誌貢獻文章

4 引文 斯高帕斯(Scopus)

摘要

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 F p . 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 F pn [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.

原文英語
頁(從 - 到)213-225
頁數13
期刊New York Journal of Mathematics
23
出版狀態已發佈 - 2017 二月 20

    指紋

ASJC Scopus subject areas

  • Mathematics(all)

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