Weyl sums with multiplicative coefficients and joint equidistribution

IF 0.9 1区数学 Q2 MATHEMATICS

Algebra & Number Theory Pub Date : 2025-06-12 DOI:10.2140/ant.2025.19.1549

Matteo Bordignon, Cynthia Bortolotto, Bryce Kerr

引用次数: 0

Abstract

We generalise a result of Montgomery and Vaughan regarding exponential sums with multiplicative coefficients to the setting of Weyl sums. As applications, we establish a joint equidistribution result for roots of polynomial congruences and polynomial values which generalises a result of Hooley. We also obtain some new results for mixed character sums.

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带乘系数和联合等分布的Weyl和

我们将Montgomery和Vaughan关于带乘系数的指数和的结果推广到Weyl和的设置。作为应用，我们建立了多项式同余根和多项式值的联合等分布结果，推广了Hooley的结果。我们还得到了一些关于混合字符和的新结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： ANT’s inclusive definition of algebra and number theory allows it to print research covering a wide range of subtopics, including algebraic and arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. It exists in both print and electronic forms. The policies of ANT are set by the editorial board — a group of working mathematicians — rather than by a profit-oriented company, so they will remain friendly to mathematicians'' interests. In particular, they will promote broad dissemination, easy electronic access, and permissive use of content to the greatest extent compatible with survival of the journal. All electronic content becomes free and open access 5 years after publication.