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短区间小分母有理数

IF 0.5 4区 数学 Q3 MATHEMATICS
Archiv der Mathematik Pub Date : 2024-04-17 DOI:10.1007/s00013-024-01993-z
Igor E. Shparlinski
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引用次数: 0

摘要

我们使用克洛斯特曼分数的双线性形式的边界，并改进了巴拉扎德和马丁（Bull Sci Math 187:Art. 103305, 2023）关于短区间有理数最小分母平均值的渐近公式中的误差项。
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Rational numbers with small denominators in short intervals

We use bounds on bilinear forms with Kloosterman fractions and improve the error term in the asymptotic formula of Balazard and Martin (Bull Sci Math 187:Art. 103305, 2023) on the average value of the smallest denominators of rational numbers in short intervals.

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来源期刊
Archiv der Mathematik
Archiv der Mathematik 数学-数学
CiteScore
1.10
自引率
0.00%
发文量
117
审稿时长
4-8 weeks
期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.
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