Algebraic independence by a method of Mahler

Author:

Flicker Yuval Z.

Abstract

AbstractWe establish a general algebraic independence theorem for the solutions of a certain kind of functional equations. As a particular application, we prove that for any real irrational ζ, the numbers are algebraically independent, for multiplicatively independent algebraic αi with 0<|<| <1.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 13 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Algebraic independence of the values of the Hecke–Mahler series and its derivatives at algebraic numbers;International Journal of Number Theory;2018-09-18

2. A two-dimensional singular function via Sturmian words in base β;Journal of Number Theory;2013-11

3. Algebraic independence of certain numbers;Acta Mathematica Sinica, English Series;1999-10

4. An arithmetic property of Mahler's series;Acta Mathematica Sinica;1997-07

5. Arithmetical properties of a certain power series;Journal of Number Theory;1992-09

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