On a Nearly Forgotten Polynomial Result by P. Bohl

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2023cermak.pdf(274.78 KB)
Date
2023-02-01
Authors
Čermák, Jan
Fedorková, Lucie
ORCID
0000-0002-6884-917X
Advisor
Referee
Mark
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Volume Title
Publisher
Taylor & Francis
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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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Keywords
Complex trinomial, location of roots
Citation
AMERICAN MATHEMATICAL MONTHLY. 2023, vol. 130, issue 2, p. 176-181.
https://doi.org/10.1080/00029890.2022.2144090
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Peer-reviewed
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Published version
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Language of document
en
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
DOI
10.1080/00029890.2022.2144090
URI
http://hdl.handle.net/11012/213732
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