The Algebraic Independence of Certain Transcendental Continued Fractions

被引：0

作者：

朱尧辰 ^{[1
]}

机构：

[1] Institute of Applied Mathematics, Academia Sinica

来源：

Acta Mathematica Sinica,English Series | 1991年 / 02期

基金：

中国国家自然科学基金;

关键词：

The Algebraic Independence of Certain Transcendental Continued Fractions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the present note the algebraic independence of certain continued fractions isproved. Especially, we prove that the Bohmr- Mahler’s series sum from K=1 to ∞[ωk]g(1≤μ≤s,1≤v≤t)are algebraically independent, where ω…,ωare some irrational numbers and g,…,gs are dis-tinct positive integers.

引用

页码：127 / 134

页数：8

共 6 条

[1]

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ADAMS, WW .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 95 (04) :512-516

[3]

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[4]

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[5]

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[6]

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