An analogue of continued fractions in number theory for Nevanlinna theory

Author:

Ye Zhuan

Abstract

We show an analogue of continued fractions in approximation to irrational numbers by rationals for Nevanlinna theory. The analogue is a sequence of points in the complex plane which approaches a given finite set of points and at a given rate in the sense of Nevanlinna theory.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference23 articles.

1. The error term in Nevanlinna’s inequality;Chen, Huaihui;Sci. China Ser. A,2000

2. Springer Monographs in Mathematics;Cherry, William,2001

3. Oxford Mathematical Monographs;Hayman, W. K.,1964

4. A sharp form of Nevanlinna’s second fundamental theorem;Hinkkanen, A.;Invent. Math.,1992

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