Abstract

We obtain new lower bounds on the number of smooth squarefree integers up to x in residue classes modulo a prime p, relatively large compared to x, which in some ranges of p and x improve that of Balog and Pomerance. We also obtain an estimate on the smallest squarefull number in almost all residue classes modulo a prime p.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call