Detail publikačního výsledku

On a Nearly Forgotten Polynomial Result by P. Bohl

ČERMÁK, J.; FEDORKOVÁ, L.

Originální název

On a Nearly Forgotten Polynomial Result by P. Bohl

Anglický název

On a Nearly Forgotten Polynomial Result by P. Bohl

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

Complex trinomial; location of roots

Klíčová slova v angličtině

Complex trinomial; location of roots

Autoři

ČERMÁK, J.; FEDORKOVÁ, L.

Vydáno

01.02.2023

Nakladatel

Taylor & Francis

Místo

PHILADELPHIA

ISSN

0002-9890

Periodikum

AMERICAN MATHEMATICAL MONTHLY

Svazek

130

Číslo

2

Stát

Spojené státy americké

Strany od

176

Strany do

181

Strany počet

6

URL

https://doi.org/10.1080/00029890.2022.2144090

Plný text v Digitální knihovně

http://hdl.handle.net/11012/213732

BibTex

@article{BUT182861,
  author="Jan {Čermák} and Lucie {Fedorková}",
  title="On a Nearly Forgotten Polynomial Result by P. Bohl",
  journal="AMERICAN MATHEMATICAL MONTHLY",
  year="2023",
  volume="130",
  number="2",
  pages="176--181",
  doi="10.1080/00029890.2022.2144090",
  issn="0002-9890",
  url="https://doi.org/10.1080/00029890.2022.2144090"
}

Dokumenty

2023-cermak