We extend two results by Boxall and Jones on algebraic values of certain analytic functions to meromorphic functions. We obtain [Formula: see text] bounds for the number of algebraic points of height at most [Formula: see text] on certain restrictions of the graphs of such functions. The constant [Formula: see text] and exponent [Formula: see text] depend on certain data associated with the functions and can be effectively computed from them.

中文翻译：

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Nevanlinna 理论和某些亚纯函数的代数值

我们将 Boxall 和 Jones 关于某些解析函数的代数值的两个结果扩展到亚纯函数。在此类函数的图形的某些限制下，我们最多获得[公式：见文本]高度代数点数的[公式：见文本]界限。常数 [Formula: see text] 和 exponent [Formula: see text] 取决于与函数相关的某些数据，并且可以从它们有效地计算出来。