@article{74f3d506162e406387ef52c6f7e1d682,
title = "Smooth Values of Polynomials",
abstract = "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.",
keywords = "polynomials, small degree irreducible factors, Smooth numbers",
author = "Bober, {J. W.} and D. Fretwell and G. Martin and Wooley, {T. D.}",
note = "Funding Information: The third author{\textquoteright}s work is partially supported by a National Sciences and Engineering Research Council of Canada Discovery Grant. The fourth author{\textquoteright}s work is supported by a European Research Council Advanced Grant under the European Union{\textquoteright}s Horizon 2020 research and innovation programme via grant agreement no. 695223. {\textcopyright}c 2019 Australian Mathematical Publishing Association Inc. Publisher Copyright: {\textcopyright} 2019 Australian Mathematical Publishing Association Inc..",
year = "2020",
month = apr,
day = "1",
doi = "10.1017/S1446788718000320",
language = "English",
volume = "108",
pages = "245--261",
journal = "Journal of the Australian Mathematical Society",
issn = "1446-7887",
publisher = "Cambridge University Press",
number = "2",
}