On the composition of the Euler function and the sum of divisors function
Jean-Marie De Koninck; Florian Luca
Colloquium Mathematicae (2007)
- Volume: 108, Issue: 1, page 31-51
- ISSN: 0010-1354
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topJean-Marie De Koninck, and Florian Luca. "On the composition of the Euler function and the sum of divisors function." Colloquium Mathematicae 108.1 (2007): 31-51. <http://eudml.org/doc/284003>.
@article{Jean2007,
abstract = {Let H(n) = σ(ϕ(n))/ϕ(σ(n)), where ϕ(n) is Euler's function and σ(n) stands for the sum of the positive divisors of n. We obtain the maximal and minimal orders of H(n) as well as its average order, and we also prove two density theorems. In particular, we answer a question raised by Golomb.},
author = {Jean-Marie De Koninck, Florian Luca},
journal = {Colloquium Mathematicae},
keywords = {Euler function; sum of divisors; distribution},
language = {eng},
number = {1},
pages = {31-51},
title = {On the composition of the Euler function and the sum of divisors function},
url = {http://eudml.org/doc/284003},
volume = {108},
year = {2007},
}
TY - JOUR
AU - Jean-Marie De Koninck
AU - Florian Luca
TI - On the composition of the Euler function and the sum of divisors function
JO - Colloquium Mathematicae
PY - 2007
VL - 108
IS - 1
SP - 31
EP - 51
AB - Let H(n) = σ(ϕ(n))/ϕ(σ(n)), where ϕ(n) is Euler's function and σ(n) stands for the sum of the positive divisors of n. We obtain the maximal and minimal orders of H(n) as well as its average order, and we also prove two density theorems. In particular, we answer a question raised by Golomb.
LA - eng
KW - Euler function; sum of divisors; distribution
UR - http://eudml.org/doc/284003
ER -
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