Variations on Euclid's formula for perfect numbers
J. Integer Seq. 13(3), Article ID 10.3.1, 18 p., electronic only (2010)
Summary
Summary: 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 $n$.
Mathematics Subject Classification
11A25, 11D99
Keywords/Phrases
sum of divisors function, multiply perfect number, Diophantine equation involving arithmetic functions, integer sequence
