We consider the problem giving upper bounds for the counting function of common zeros (i.e., the gcd) of two entire analytic functions in various settings. Applying techniques from analytic number theory and Diophantine approximation in the context of entire and meromorphic functions, we establish bounds of this type covering several aspects that were not well suited for the previously used methods in the context of this problem.
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Pastén et al. (2016) studied this question.
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