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.
引用
收藏
页码：481 / 488
页数：7
相关论文
共 50 条
  • [21] On the series of absolute values of blocks of trigonometric series
    S. A. Telyakovskii
    Proceedings of the Steklov Institute of Mathematics, 2014, 284 : 235 - 243
  • [22] Pointwise universal trigonometric series
    Shkarin, S.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 360 (02) : 754 - 758
  • [23] On the uniform convergence of trigonometric series
    Tikhonov, S. Yu.
    MATHEMATICAL NOTES, 2007, 81 (1-2) : 268 - 274
  • [24] On trigonometric series and primitive functions
    Hovsepyan, R. I.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2009, 44 (04): : 205 - 211
  • [25] A weighted inequality for trigonometric series
    Coppola, Giovanni
    Laporta, Maurizio
    JOURNAL OF ANALYSIS, 2023, 31 (02): : 1041 - 1056
  • [26] On trigonometric series and primitive functions
    R. I. Hovsepyan
    Journal of Contemporary Mathematical Analysis, 2009, 44 : 205 - 211
  • [27] Transcendence of certain reciprocal sums of linear recurrences
    Duverney, D
    Kanoko, T
    Tanaka, TA
    MONATSHEFTE FUR MATHEMATIK, 2002, 137 (02): : 115 - 128
  • [28] On the Integrability with Weight of Trigonometric Series
    Xh. Z. Krasniqi
    B. Szal
    Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2020, 55 : 179 - 188
  • [29] Trigonometric series with noninteger harmonics
    Gabdullin, Mikhail R.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 508 (01)
  • [30] On the uniform convergence of trigonometric series
    S. Yu. Tikhonov
    Mathematical Notes, 2007, 81 : 268 - 274
12345