Algebraic integers with small potential energy

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-10

A. Dubickas

引用次数: 0

Abstract

. In this paper we give a lower bound on the mean of squares of distances between the points in two sets in terms of the products of distances between the points in each of those two sets. These results imply lower bounds on the p th power ( p (cid:2) 2) of the average distance between the conjugates of an algebraic integer and of the same quantity between the conjugates of a totally real algebraic integer.

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具有小势能的代数整数

．本文用两个集合中各点之间距离的乘积给出了两个集合中各点之间距离的平方均值的下界。这些结果暗示了一个代数整数的共轭与一个完全实数代数整数的共轭之间相同数量的平均距离的p次幂(p (cid:2) 2)的下界。

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

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.