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 A. Balog and C. Pomerance (1992). We also estimate the smallest squarefull number in almost all residue classes modulo a prime $p$.
Originalsprache | englisch |
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Seiten (von - bis) | 56-70 |
Fachzeitschrift | Mathematika |
Jahrgang | 66 |
Ausgabenummer | 1 |
DOIs | |
Publikationsstatus | Veröffentlicht - Jan. 2020 |