On rough and smooth neighbors.

Banks, William D., Luca, Florian, and Shparlinski, Igor E.. "On rough and smooth neighbors.." Revista Matemática Complutense 20.1 (2007): 109-118. <http://eudml.org/doc/41928>.

@article{Banks2007,
abstract = {We study the behavior of the arithmetic functions defined byF(n) = P+(n) / P-(n+1) and G(n) = P+(n+1) / P-(n) (n ≥ 1)where P+(k) and P-(k) denote the largest and the smallest prime factors, respectively, of the positive integer k.},
author = {Banks, William D., Luca, Florian, Shparlinski, Igor E.},
journal = {Revista Matemática Complutense},
keywords = {Teoría multiplicativa de números; Funciones aritméticas; Números primos; quotient of arithmetic functions; smooth numbers; value sets},
language = {eng},
number = {1},
pages = {109-118},
title = {On rough and smooth neighbors.},
url = {http://eudml.org/doc/41928},
volume = {20},
year = {2007},
}

TY - JOUR
AU - Banks, William D.
AU - Luca, Florian
AU - Shparlinski, Igor E.
TI - On rough and smooth neighbors.
JO - Revista Matemática Complutense
PY - 2007
VL - 20
IS - 1
SP - 109
EP - 118
AB - We study the behavior of the arithmetic functions defined byF(n) = P+(n) / P-(n+1) and G(n) = P+(n+1) / P-(n) (n ≥ 1)where P+(k) and P-(k) denote the largest and the smallest prime factors, respectively, of the positive integer k.
LA - eng
KW - Teoría multiplicativa de números; Funciones aritméticas; Números primos; quotient of arithmetic functions; smooth numbers; value sets
UR - http://eudml.org/doc/41928
ER -