Sequences of consecutive smooth polynomials over a finite field
Ariane M. Masuda, Daniel Panario · Proceedings of the American Mathematical Society · 2006
Given ε > 0 \varepsilon > 0 , we show that there are infinitely many sequences of consecutive ε n \varepsilon n -smooth polynomials over a finite field. The number of polynomials in each sequence is approximately ln ln ln n \ln \ln \ln n .