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| 摘要: |
| 本文研究了短区间的并集中的D.H.Lehmer问题.利用不完全Kloosterman和的均值定理，给出了D.H.Lehmer问题的渐近公式，从而推广了短区间的D.H.Lehmer问题. |
| 关键词: D.H.Lehmer问题 不完全Kloosterman和 短区间 |
| 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 A GENERALIZATION OF THE D. H. LEMHER PROBLEM IN UNIONS OF SHORT INTERVALS |
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WANG Xiao-ying,CAO Yan-mei
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| Abstract: |
| In this paper, the D. H. Lemher problem in unions of short intervals is studied. By using the mean value theorem for incomplete Kloosterman sums, we give an asymptotic formula for D. H. Lemher problem, which generalize the D. H. Lemher problem in short intervals. |
| Key words: D. H. Lemher problem incomplete Kloosterman sum short interval |
