Research output: Contribution to Journal/Magazine › Journal article › peer-review
| <mark>Journal publication date</mark> | 1/04/2020 |
|---|---|
| <mark>Journal</mark> | Journal of the Australian Mathematical Society |
| Issue number | 2 |
| Volume | 108 |
| Number of pages | 17 |
| Pages (from-to) | 245-261 |
| Publication Status | Published |
| <mark>Original language</mark> | English |
Given f Z[t] of positive degree, we investigate the existence of auxiliary polynomials g Z[t] for which factors as a product of polynomials of small relative degree. One consequence of this work shows that for any quadratic polynomial f Z[t] and any ϵ > 0, there are infinitely many for which the largest prime factor of f(n) is no larger than n.