Publication detail

On a Nearly Forgotten Polynomial Result by P. Bohl

ČERMÁK, J. FEDORKOVÁ, L.

English title

On a Nearly Forgotten Polynomial Result by P. Bohl

Type

journal article in Web of Science

Language

en

Original 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.

English 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.

Keywords in English

Complex trinomial; location of roots

Released

01.02.2023

Publisher

Taylor & Francis

Location

PHILADELPHIA

ISSN

0002-9890

Volume

130

Number

2

Pages from–to

176–181

Pages count

6

BIBTEX


@article{BUT182861,
  author="Jan {Čermák} and Lucie {Fedorková},
  title="On a Nearly Forgotten Polynomial Result by P. Bohl",
  year="2023",
  volume="130",
  number="2",
  month="February",
  pages="176--181",
  publisher="Taylor & Francis",
  address="PHILADELPHIA",
  issn="0002-9890"
}