Abstract
Given of positive degree, we investigate the existence of auxiliary polynomials for which factors as a product of polynomials of small relative degree. One consequence of this work shows that for any quadratic polynomial and any 0$]]>, there are infinitely many for which the largest prime factor of is no larger than.
Original language | English |
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Pages (from-to) | 245-261 |
Number of pages | 17 |
Journal | Journal of the Australian Mathematical Society |
Volume | 108 |
Issue number | 2 |
Early online date | 1 Feb 2019 |
DOIs | |
Publication status | E-pub ahead of print - 1 Feb 2019 |
Keywords
- Smooth numbers
- polynomials
- small degree irreducible factors
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Dive into the research topics of 'Smooth values of polynomials'. Together they form a unique fingerprint.Profiles
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Dr Jonathan W Bober
- School of Mathematics - Heilbronn Senior Research Fellow
- Heilbronn Institute for Mathematical Research
- Pure Mathematics
Person: Academic , Member