具有可约多项式的指数和

IF 1 3区数学 Q1 MATHEMATICS

Discrete Analysis Pub Date : 2018-02-25 DOI:10.19086/da.10793

C. Dartyge, G. Martin

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引用次数: 4

摘要

Hooley证明了如果$f\in\Bbb Z[X]$是阶$\ge 2$的不可约，则$f（r）\equiv 0\pmod n$的分式$\｛r/n\｝$，$0＜r＜n$，在$（0,1）$中均匀分布。本文研究了3次可约多项式的这类问题。特别地，我们建立了这些归一化根上指数和的渐近公式。

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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Exponential sums with reducible polynomials

Hooley proved that if $f\in \Bbb Z [X]$ is irreducible of degree $\ge 2$, then the fractions $\{ r/n\}$, $0

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来源期刊

Discrete Analysis Mathematics-Algebra and Number Theory

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

17 weeks

期刊介绍： Discrete Analysis is a mathematical journal that aims to publish articles that are analytical in flavour but that also have an impact on the study of discrete structures. The areas covered include (all or parts of) harmonic analysis, ergodic theory, topological dynamics, growth in groups, analytic number theory, additive combinatorics, combinatorial number theory, extremal and probabilistic combinatorics, combinatorial geometry, convexity, metric geometry, and theoretical computer science. As a rough guideline, we are looking for papers that are likely to be of genuine interest to the editors of the journal.

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