For an integer m > 3, does there exist an absolute constant K(m) such that every polynomial with m non-zero coefficients has an irreducible factor with at most K(m) coefficients? A previous result in the literature establishes K(3) > 9, which is here improved to K(3) > 12. Improvements on known bounds are also given for m = 4, 5, 6, and for K(m), when m > 7.
|Original language||English (US)|
|Number of pages||11|
|Journal||Functiones et Approximatio, Commentarii Mathematici|
|State||Published - 2020|
- Irreducible factor
- Non-zero coefficients
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