摘要
本文在仅与系数有关的一般条件下证明了某些代数系数三角级数及其导数在代数点上值的超越性.定理的证明基于一个关于数域上的线性无关性的判别法则.
In this paper the transcendence of values of certain trigonometric series with algebraic coefficients and its derivatives at algebraic points is proved under a general condition dependent only on the coefficients. The proof of the theorem is based on a criterion for linear independence over a number field.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2005年第3期605-608,共4页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(10171097)
关键词
超越性
三角级数
线性无关性
数域
Transcendence
Trigonometric series
Linear independence
Number field
