Let be an integral binary form of degree , and let
where as usual denotes the largest prime factor of . It is proved that for in general, and if . Better results are obtained if is reducible.
Cite this article
Antal Balog, Valentin Blomer, Cécile Dartyge, Gérald Tenenbaum, Friable values of binary forms. Comment. Math. Helv. 87 (2012), no. 3, pp. 639–667DOI 10.4171/CMH/264