Transcendence of Certain Trigonometric Series

被引：0
作者：
Yao Chen Zhu
机构：
[1] The Chinese Academy of Sciences,Academy of Mathematics and System Sciences
来源：
Acta Mathematica Sinica | 2002年 / 18卷
关键词：
Transcendence; Trigonometric series; Linear independence; Number field; 11J91; 11J72;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：481 / 488
页数：7
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