Results 181 to 190 of about 5,990,008 (247)

Nevanlinna theory and diophantine approximation

Science in China Series A: Mathematics, 2005
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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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A Modification of the Nevanlinna Theory

Computational Methods and Function Theory, 2009
This paper presents a modification of the Nevanlinna theory by making use of the full generality of the Poisson--Jensen formula instead of using a special case of the formula, the Jensen formula, that had been used to deduce the ``classical'' Nevanlina theory. More precisely, let \(\alpha\) be a point in the disk \(|z|
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A Second Main Theorem of Nevanlinna Theory for Closed Subschemes in Subgeneral Position

Chinese Annals of Mathematics. Series B, 2022
Guangsheng Yu
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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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Nevanlinna theory through the Brownian motion

Science China Mathematics, 2019
Xianjing Dong, Y. He, M. Ru
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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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Nevanlinna Theory over Function Fields

2014
We develop here Nevanlinna theory described in Sects. 4.1 and 4.2 for holomorphic curves over algebraic function fields. This is understood as an approximation theory of algebraic functions by algebraic functions. Vojta (Diophantine Approximations and Value Distribution Theory, 1987) formulated Diophantine approximation theory from the viewpoint of ...
Junjiro Noguchi, Jörg Winkelmann
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