Tropical Nevanlinna theory and second main theorem
نویسندگان
چکیده
منابع مشابه
7 Tropical Nevanlinna Theory and Ultra - Discrete Equations
A tropical version of Nevanlinna theory is described in which the role of meromorphic functions is played by continuous piecewise linear functions of a real variable whose one-sided derivatives are integers at every point. These functions are naturally defined on the max-plus (or tropical) semi-ring. Analogues of the Nevanlinna characteristic, proximity and counting functions are defined and ve...
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Value distribution of a rational function f is controlled by its degree d, which is the number of preimages of a generic point. If we denote by n(a) the number of solutions of the equation f(z) = a, counting multiplicity, in the complex plane C, then n(a) ≤ d for all a ∈ C with equality for all a with one exception, namely a = f(∞). The number of critical points of f in C, counting multiplicity...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2011
ISSN: 0024-6115
DOI: 10.1112/plms/pdq049