We study upper bounds for the counting function of common zeros of two meromorphic functions in various contexts. The proofs and results are inspired by recent work involving greatest common divisors in Diophantine approximation, to which we introduce additional techniques to take advantage of the stronger inequalities available in Nevanlinna theory. In particular, we prove a general version of a conjectural “asymptotic gcd” inequality of Pasten and the second author, and consider moving targets versions of our results.

中文翻译：

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解析函数和Nevanlinna代数花托理论的最大公约数

我们研究了在各种情况下两个亚纯函数的公共零的计数函数的上限。证明和结果的灵感来自于最近的工作，其中包括Diophantine近似中最大的公约数，我们引入了其他技术，以利用Nevanlinna理论中更强的不等式。特别是，我们证明了Pasten和第二作者的猜想“渐近gcd”不等式的一般形式，并考虑了结果的移动目标形式。