| 摘要: |
| 本文研究了一类新型Dedekind和的混合均值问题.利用Dirichlet L-函数的均值性质，给出了新型Dedekind和的混合和均值的渐近公式，推广和发展了关于Dedekind和问题的已有结果，促进了相关领域的研究. |
| 关键词: 新型Dedekind Dirichlet L-函数 混合均值 |
| DOI： |
| 分类号:O156.4 |
| 基金项目:国家自然科学基金资助（11571277）；陕西省工业科技基金资助（2016GY-077）. |
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| ON THE HYBRID MEAN OF NEW DEDEKIND SUMS |
|
WANG Xiao-ying, SONG Ya-fei
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School of Mathematics, Northwest University, Xi'an 710127, China
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| Abstract: |
| In this paper, the hybrid mean of new Dedekind sums is studied. By using the mean value theorem for Dirichlet L-function, we give asymptotic formulas for the hybrid mean of new Dedekind sums, which generalize and develop existed results on Dedekind sums. |
| Key words: New Dedekind sum Dirichlet L-function hybrid mean |
