Full paper in PDF format:
$%W. D. Banks,
F. Luca, and I. E. Shparlinski, On rough and smooth neighbors, Rev. Mat. Complut. 20 (2007),
no. 1, 109–118. %$
Department of Mathematics University of Missouri Columbia, MO 65211 — USA bbanks@math.missouri.edu | Instituto de Matemáticas Universidad Nacional Autónoma de México C.P. 58089, Morelia, Michoacán, México fluca@matmor.unam.mx |
ABSTRACT
We study the behavior of the arithmetic functions defined by
where P+(k) and P-(k) denote the largest and the smallest prime factors, respectively, of the positive integer k .
Key words: smallest prime divisor, largest prime divisor.
2000 Mathematics Subject Classification: 11N25, 11N64.