Kloosterman和的三重和与模逆的不一致

IF 1.2 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-09-12 DOI:10.1112/jlms.70291

Valentin Blomer, Morten S. Risager, Igor E. Shparlinski

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引用次数: 0

摘要

研究了模逆模正整数c$ c$在大区间内的分布。我们提供了它们的盒、球和各向同性差异的上界和下界，从而显示了与随机点集的一些偏差。除其他外，该分析是基于Kloosterman和的三重和的新界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Triple sums of Kloosterman sums and the discrepancy of modular inverses

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Triple sums of Kloosterman sums and the discrepancy of modular inverses

We investigate the distribution of modular inverses modulo positive integers $c$ in a large interval. We provide upper and lower bounds for their box, ball, and isotropic discrepancy, thereby exhibiting some deviations from random point sets. The analysis is based, among other things, on a new bound for a triple sum of Kloosterman sums.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.