模块根的能量边界及其应用

IF 1.1 2区数学 Q1 MATHEMATICS

Journal of the Institute of Mathematics of Jussieu Pub Date : 2024-03-04 DOI:10.1017/s1474748023000397

Bryce Kerr, Ilya D. Shkredov, Igor E. Shparlinski, Alexandru Zaharescu

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引用次数: 0

摘要

我们概括并改进了最近关于模数根的加法能量的一些界限。我们的论证使用了多种技术，包括来自加法组合学、代数数论和数几何学的技术。我们将这些结果应用于萨利埃和之间相关性的新界限，以及素数的模数根集的新等分布估计。

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ENERGY BOUNDS FOR MODULAR ROOTS AND THEIR APPLICATIONS

We generalise and improve some recent bounds for additive energies of modular roots. Our arguments use a variety of techniques, including those from additive combinatorics, algebraic number theory and the geometry of numbers. We give applications of these results to new bounds on correlations between Salié sums and to a new equidistribution estimate for the set of modular roots of primes.

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来源期刊

Journal of the Institute of Mathematics of Jussieu 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Institute of Mathematics of Jussieu publishes original research papers in any branch of pure mathematics; papers in logic and applied mathematics will also be considered, particularly when they have direct connections with pure mathematics. Its policy is to feature a wide variety of research areas and it welcomes the submission of papers from all parts of the world. Selection for publication is on the basis of reports from specialist referees commissioned by the Editors.