Geodesic
On square values of the product of the Euler totient and sum of divisors functions
Kevin Broughan1 ; Kevin Ford2 ; Florian Luca3
1Department of Mathematics University of Waikato Private Bag 3105, Hamilton, New Zealand
2Department of Mathematics The University of Illinois at Urbana-Champaign Urbana 1409 West Green St. Champaign, IL 61801, U.S.A.
3Fundación Marcos Moshinsky Instituto de Ciencias Nucleares UNAM Circuito Exterior, C.U., Apdo. Postal 70-543 México, D.F. 04510, Mexico
Colloquium Mathematicum, Tome 130 (2013) no. 1, pp. 127-137
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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If $n$ is a positive integer such that $\phi (n)\sigma (n)=m^2$ for some positive integer $m$, then $m\le n$. We put $m=n-a$ and we study the positive integers $a$ arising in this way.
DOI : 10.4064/cm130-1-11
Keywords: positive integer phi sigma positive integer put n a study positive integers arising

Kevin Broughan  1   ; Kevin Ford  2   ; Florian Luca  3

1 Department of Mathematics University of Waikato Private Bag 3105, Hamilton, New Zealand
2 Department of Mathematics The University of Illinois at Urbana-Champaign Urbana 1409 West Green St. Champaign, IL 61801, U.S.A.
3 Fundación Marcos Moshinsky Instituto de Ciencias Nucleares UNAM Circuito Exterior, C.U., Apdo. Postal 70-543 México, D.F. 04510, Mexico 
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Kevin Broughan; Kevin Ford; Florian Luca. On square values of the product of the Euler totient and sum of divisors functions. Colloquium Mathematicum, Tome 130 (2013) no. 1, pp. 127-137. doi: 10.4064/cm130-1-11

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