Dedekind和及第一类Chebyshev多项式

关文吉, 李小雪

数学学报 ›› 2019, Vol. 62 ›› Issue (2) : 219-224.

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数学学报 ›› 2019, Vol. 62 ›› Issue (2) : 219-224. DOI: 10.12386/A2019sxxb0019
论文

Dedekind和及第一类Chebyshev多项式

    关文吉1, 李小雪2
作者信息 +

The Dedekind Sums and First Kind Chebyshev Polynomials

    Wen Ji GUAN1, Xiao Xue LI2
Author information +
文章历史 +

摘要

本文利用分析方法、Dedekind和及第一类Chebyshev多项式的算术性质,研究了一类关于Dedekind和及第一类Chebyshev多项式混合均值的渐近估计问题,并得到了一个较强的渐近公式.

Abstract

We use the analysis method, the arithmetical properties of Dedekind sums and first kind Chebyshev polynomials to study the asymptotic estimation problem of one kind hybrid mean value involving the Dedekind sums and the first kind Chebyshev polynomials. At last, we obtain a sharp asymptotic formula for it.

关键词

Dedekind和 / 第一类Chebyshev多项式 / 混合均值

Key words

Dedekind sums / the first kind Chebyshev polynomials / hybrid mean value

引用本文

导出引用
关文吉, 李小雪. Dedekind和及第一类Chebyshev多项式. 数学学报, 2019, 62(2): 219-224 https://doi.org/10.12386/A2019sxxb0019
Wen Ji GUAN, Xiao Xue LI. The Dedekind Sums and First Kind Chebyshev Polynomials. Acta Mathematica Sinica, Chinese Series, 2019, 62(2): 219-224 https://doi.org/10.12386/A2019sxxb0019

参考文献

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基金

国家自然科学基金资助项目(11771351);陕西省自然科学基础研究计划(2018JQ1093);渭南师范学院自然科学类研究项目(16YKS003);西安航空学院校级科研项目(2018KY0208)

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