On square values of the product of the Euler totient and sum of divisors functions
Kevin Broughan; Kevin Ford; Florian Luca
Colloquium Mathematicae (2013)
- Volume: 130, Issue: 1, page 127-137
- ISSN: 0010-1354
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topKevin Broughan, Kevin Ford, and Florian Luca. "On square values of the product of the Euler totient and sum of divisors functions." Colloquium Mathematicae 130.1 (2013): 127-137. <http://eudml.org/doc/283722>.
@article{KevinBroughan2013,
abstract = {If n is a positive integer such that ϕ(n)σ(n) = m² for some positive integer m, then m ≤ n. We put m = n-a and we study the positive integers a arising in this way.},
author = {Kevin Broughan, Kevin Ford, Florian Luca},
journal = {Colloquium Mathematicae},
keywords = {arithmetical function; Euler function; sum of divisors function; square numbers},
language = {eng},
number = {1},
pages = {127-137},
title = {On square values of the product of the Euler totient and sum of divisors functions},
url = {http://eudml.org/doc/283722},
volume = {130},
year = {2013},
}
TY - JOUR
AU - Kevin Broughan
AU - Kevin Ford
AU - Florian Luca
TI - On square values of the product of the Euler totient and sum of divisors functions
JO - Colloquium Mathematicae
PY - 2013
VL - 130
IS - 1
SP - 127
EP - 137
AB - If n is a positive integer such that ϕ(n)σ(n) = m² for some positive integer m, then m ≤ n. We put m = n-a and we study the positive integers a arising in this way.
LA - eng
KW - arithmetical function; Euler function; sum of divisors function; square numbers
UR - http://eudml.org/doc/283722
ER -
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