The L1-Norm of a Trigonometric Sum

被引:0
|
作者
K. M. Éminyan
机构
[1] Moscow State University of Applied Biotechnology,
来源
Mathematical Notes | 2004年 / 76卷
关键词
trigonometric sum; 1-norm; Bochkarev's inequality; Karatsuba's estimate; binary expansion of a number;
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中图分类号
学科分类号
摘要
We obtain estimates of the trigonometric sum \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$S_N (\alpha ) = \sum\nolimits_{n = 1}^N {\varepsilon (n){\text{exp(}}} 2\pi i\alpha n)$$ \end{document}.
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页码:124 / 132
页数:8
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