Diophantine Approximation and Nevanlinna Theory

Author(s):  
Paul Vojta
2020 ◽  
Vol 2020 (767) ◽  
pp. 77-107 ◽  
Author(s):  
Aaron Levin ◽  
Julie Tzu-Yueh Wang

AbstractWe 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.


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