Irreducibility of a Polynomial Shifted by a Power of Another Polynomial
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-02
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
In this note, we show that, for any f∈ℤx and any prime number p, there exists g∈ℤx for which the polynomial fx−gxp is irreducible over ℚ.
For composite p≥2, this assertion is not true in general.
However, it holds for any integer p≥2 if f is not of the form ahxk, where a≠0 and k≥2 are integers and h∈ℤx.
American Psychological Association (APA)
Dubickas, Artūras. 2020. Irreducibility of a Polynomial Shifted by a Power of Another Polynomial. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-4.
https://search.emarefa.net/detail/BIM-1188254
Modern Language Association (MLA)
Dubickas, Artūras. Irreducibility of a Polynomial Shifted by a Power of Another Polynomial. Journal of Mathematics No. 2020 (2020), pp.1-4.
https://search.emarefa.net/detail/BIM-1188254
American Medical Association (AMA)
Dubickas, Artūras. Irreducibility of a Polynomial Shifted by a Power of Another Polynomial. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-4.
https://search.emarefa.net/detail/BIM-1188254
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188254