Irreducibility of a Polynomial Shifted by a Power of Another Polynomial
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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/8869499 |
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