Geodesic
Variations on Euclid's formula for perfect numbers
Journal of integer sequences, Tome 13 (2010) no. 3
We study several families of solutions to equations of the form $\sigma (n) = An + B(n)$, where $B$ is a function that may depend on properties of $n$.
Classification : 11A25, 11D99
Keywords: sum of divisors function, multiply perfect number, Diophantine equation involving arithmetic functions, integer sequence 
@article{JIS_2010__13_3_a3,
     author = {Firoozbakht,  Farideh and Hasler,  Maximilian F.},
     title = {Variations on {Euclid's} formula for perfect numbers},
     journal = {Journal of integer sequences},
     year = {2010},
     volume = {13},
     number = {3},
     zbl = {1210.11009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_3_a3/}
}
TY  - JOUR
AU  - Firoozbakht,  Farideh
AU  - Hasler,  Maximilian F.
TI  - Variations on Euclid's formula for perfect numbers
JO  - Journal of integer sequences
PY  - 2010
VL  - 13
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JIS_2010__13_3_a3/
LA  - en
ID  - JIS_2010__13_3_a3
ER  - 
%0 Journal Article
%A Firoozbakht,  Farideh
%A Hasler,  Maximilian F.
%T Variations on Euclid's formula for perfect numbers
%J Journal of integer sequences
%D 2010
%V 13
%N 3
%U http://geodesic.mathdoc.fr/item/JIS_2010__13_3_a3/
%G en
%F JIS_2010__13_3_a3
Firoozbakht,  Farideh; Hasler,  Maximilian F. Variations on Euclid's formula for perfect numbers. Journal of integer sequences, Tome 13 (2010) no. 3. http://geodesic.mathdoc.fr/item/JIS_2010__13_3_a3/