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Nevanlinna theory and algebraic values of certain meromorphic functions

, 2020
We extend two results by Boxall and Jones on algebraic values of certain analytic functions to meromorphic functions.
T. Chalebgwa
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Tropical Nevanlinna theory in several variables

Journal of the London Mathematical Society
The main goal of this paper is to establish the higher dimensional Nevanlinna theory in tropical geometry. We first develop a theory of tropical meromorphic functions (tropical holomorphic maps) in several real variables, such as the proximity function ...
T. Cao, Jiahu Peng
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Nevanlinna theory and diophantine approximation

Science in China Series A: Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Brownian Motion and Nevanlinna Theory

Proceedings of the London Mathematical Society, 1986
The paper describes an interpretation of R. Nevanlinna's theory on the distribution of values taken by a meromorphic function in terms of probability theory. A meromorphic function transforms Brownian paths in its domain into Brownian paths on the Riemann sphere which run up to a stopping time T.
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Analytic Ax–Schanuel for semi-abelian varieties and Nevanlinna theory

Journal of the Mathematical Society of Japan, 2023
J. Noguchi
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Nevanlinna Theory of Functions

Nature, 1964
Meromorphic Functions By Prof. W. K. Hayman. (Oxford Mathematical Monographs.) Pp. xiv + 191. (London: Oxford University Press, 1964.) 63s.
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Nevanlinna Theory and Diophantine Approximations

2004
In this note, we will introduce some basic problems and progresses in Nevanlinna theory and Diophantine approximations, say, discuss the abc-conjecture and Hall’s conjecture for integers, and prove their analogue for polynomials or entire functions by dint of Nevanlinna’s value distribution theory.
Hu, Pei-Chu, Yang, Chung-Chun
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Essentials of Nevanlinna Theory

1993
In 1925, R. Nevanlinna[1] established two fundamental theorems; in one stroke he initiated the modern research on the theory of value distribution, and laid down the foundation for its development ever since. Therefore, the first chapter will be devoted to a brief introduction to Nevanlinna theory1), and the last section of the chapter, as an ...
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