关于P. Bohl的一个几乎被遗忘的多项式结果

IF 0.4 4区数学 Q4 MATHEMATICS

American Mathematical Monthly Pub Date : 2022-12-09 DOI:10.1080/00029890.2022.2144090

J. Cermák, L. Fedorková

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引用次数: 3

摘要

皮尔斯·波尔(Piers Bohl, 1865-1921)是一位杰出的拉脱维亚数学家，他的名字与几项领先于他们时代的重要成就密切相关。不幸的是，当时的数学界并没有认识到它们的重要性。这篇论文讨论了波尔在1908年的一个结果，这个结果几乎没有被注意到，甚至直到现在。它涉及一个一般的复三项式，并回答了它的根相对于给定模的分布问题。在过去的几十年里，这个问题和其他相关的问题在许多特殊情况下被广泛研究，而不知道这个现有的答案。本文回顾了前面提到的玻尔的结果，并说明了它是如何容易地暗示关于这个主题的最近和以前的工作的结论。

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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On a Nearly Forgotten Polynomial Result by P. Bohl

Abstract Piers Bohl (1865–1921) was an outstanding Latvian mathematician whose name is particularly connected with several crucial achievements that were ahead of their time. Unfortunately, the contemporary mathematical community did not recognize their significance. This paper discusses one of Bohl’s results from 1908 that remained nearly unnoticed, even up until the present. It concerns a general complex trinomial and answers the problem of the distribution of its roots with respect to a given modulus. During the last few decades, this and other related problems have been extensively studied in numerous particular cases, without knowledge of this existing answer. This paper recalls the aforementioned Bohl’s result and illustrates how easily it can imply conclusions of recent as well as older works regarding this topic.

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来源期刊

American Mathematical Monthly Mathematics-General Mathematics

CiteScore

0.80

自引率

20.00%

发文量

127

审稿时长

6-12 weeks

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