| 摘要: |
| 本文研究了短区间上Hardy和的均值.利用Dirichlet L-函数的均值定理，给出合数模上Hardy和的均值的渐近公式，从而推广了素数模上Hardy和的均值性质. |
| 关键词: Hardy和 Dirichlet L-函数 均值 渐近公式 |
| 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 MEAN VALUE OF HARDY SUM WITH COMPOSITE MODULI |
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WANG Xiao-ying, YUE Xia-xia, LIU Hua-ning
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School of Mathematics, Northwest University, Xi'an 710127, China
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| Abstract: |
| In this paper, the mean value of Hardy sum in short interval is studied. By using the mean value theorems of Dirichlet L-functions, we give some asymptotic formula for the mean value of Hardy sum with composite moduli, which generalizes the property of Hardy sum with prime moduli. |
| Key words: Hardy sum Dirichlet L-function mean value asymptotic formula |
