Transcendence of certain trigonometric series

被引：1
|
作者：
Zhu, YC [1 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2002年 / 18卷 / 03期
基金：
中国国家自然科学基金;
关键词：
transcendence; trigonometric series; linear independence; number field;
D O I：
10.1007/s10114-002-0183-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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：8
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