An interesting identity and asymptotic formula related to the Dedekind sums 被引量：1

An interesting identity and asymptotic formula related to the Dedekind sums

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摘要 We use the analytic methods and the properties of Gauss sums to study one kind mean value problems involving the classical Dedekind sums,and give an interesting identity and asymptotic formula for it. We use the analytic methods and the properties of Gauss sums to study one kind mean value problems involving the classical Dedekind sums, and give an interesting identity and asymptotic formula for it.

作者 XU ZheFeng ZHANG WenPeng

机构地区 Department of Mathematics

出处《Science China Mathematics》 SCIE 2014年第3期659-663,共5页 中国科学：数学（英文版）

基金 supported by National Natural Science Foundation of China(Grant Nos.11001218 and 11071194) the Research Fund for the Doctoral Program of Higher Education of China(Grant No.20106101120001)

关键词 Dedekind sums mean value analytic method IDENTITY asymptotic formula Dedekind和渐近公式高斯和恒等式

分类号 O174 [理学—基础数学]

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参考文献10

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引证文献1

1李小雪.Dedekind和的均值及它的线性递推公式[J].数学的实践与认识,2018,48(18):236-243.

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Science China Mathematics

2014年第3期

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An interesting identity and asymptotic formula related to the Dedekind sums 被引量：1

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