An analogue of continued fractions in number theory for Nevanlinna theory

Ye, Zhuan

doi:10.1090/S0002-9947-04-03709-2

An analogue of continued fractions in number theory for Nevanlinna theory
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Trans. Amer. Math. Soc. 356 (2004), 4829-4838 Request permission

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.

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