摘要
本文证明了某些以ａｎｘ（ａｎ为正代数数）为元素的连分式在代数点和超越点上值的代数无关性．特别地，某些关于简单连分数的代数无关性结果被扩充到更广泛的情形。
The algebraic independence of values of certain continued fractions with elements anx (n≥0) at algebraic and transcendental points is proved, where an (n ≥ 1) are positive algebraic numbers. Especially, some results about algebraic independence of simple continued fractions are extended to more wide cases.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2001年第5期815-822,共8页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(19871083)
