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On the functional equation f(αx+β)=f(x). / Bekker, Boris; Podkopaev, Oleg.

In: Aequationes Mathematicae, Vol. 96, No. 2, 04.2022, p. 349–360.

Research output: Contribution to journal › Article › peer-review

Harvard

Bekker, B & Podkopaev, O 2022, 'On the functional equation f(αx+β)=f(x)', Aequationes Mathematicae, vol. 96, no. 2, pp. 349–360. https://doi.org/10.1007/s00010-021-00833-7, https://doi.org/10.1007/s00010-021-00833-7

APA

Bekker, B., & Podkopaev, O. (2022). On the functional equation f(αx+β)=f(x). Aequationes Mathematicae, 96(2), 349–360. https://doi.org/10.1007/s00010-021-00833-7, https://doi.org/10.1007/s00010-021-00833-7

Vancouver

Bekker B, Podkopaev O. On the functional equation f(αx+β)=f(x). Aequationes Mathematicae. 2022 Apr;96(2):349–360. https://doi.org/10.1007/s00010-021-00833-7, https://doi.org/10.1007/s00010-021-00833-7

Author

Bekker, Boris ; Podkopaev, Oleg. / On the functional equation f(αx+β)=f(x). In: Aequationes Mathematicae. 2022 ; Vol. 96, No. 2. pp. 349–360.

BibTeX

@article{315e8c18f78e4916ac7f56bcbdab0ebe,
title = "On the functional equation f(αx+β)=f(x)",
abstract = "The aim of this paper is to fill in the gaps in the formulation and the proof of a theorem contained in the paper by K.Ozeki (Aequ Math 25:247–252, 1982) published in this journal. We also give a short proof of this theorem and use it to obtain certain information about the factorization of polynomials of the form f(x) - f(y).",
keywords = "Cyclic polynomials, Irreducibility, Linear automorphisms",
author = "Boris Bekker and Oleg Podkopaev",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",
year = "2022",
month = apr,
doi = "10.1007/s00010-021-00833-7",
language = "English",
volume = "96",
pages = "349–360",
journal = "Aequationes Mathematicae",
issn = "0001-9054",
publisher = "Birkh{\"a}user Verlag AG",
number = "2",

}

RIS

TY - JOUR

T1 - On the functional equation f(αx+β)=f(x)

AU - Bekker, Boris

AU - Podkopaev, Oleg

N1 - Publisher Copyright: © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

PY - 2022/4

Y1 - 2022/4

N2 - The aim of this paper is to fill in the gaps in the formulation and the proof of a theorem contained in the paper by K.Ozeki (Aequ Math 25:247–252, 1982) published in this journal. We also give a short proof of this theorem and use it to obtain certain information about the factorization of polynomials of the form f(x) - f(y).

AB - The aim of this paper is to fill in the gaps in the formulation and the proof of a theorem contained in the paper by K.Ozeki (Aequ Math 25:247–252, 1982) published in this journal. We also give a short proof of this theorem and use it to obtain certain information about the factorization of polynomials of the form f(x) - f(y).

KW - Cyclic polynomials

KW - Irreducibility

KW - Linear automorphisms

UR - http://www.scopus.com/inward/record.url?scp=85109601636&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/11591665-9e67-3cc7-817d-7338fda34873/

U2 - 10.1007/s00010-021-00833-7

DO - 10.1007/s00010-021-00833-7

M3 - Article

AN - SCOPUS:85109601636

VL - 96

SP - 349

EP - 360

JO - Aequationes Mathematicae

JF - Aequationes Mathematicae

SN - 0001-9054

IS - 2

ER -

ID: 84476151