Variations on Euclid's Formula for Perfect Numbers

Farideh Firoozbakht (1) , Maximilian F. Hasler (2)

1 Faculty of Mathematics & Computer Science
2 CEREGMIA - Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée

We study several families of solutions to equations of the form (n) = An + B(n), where B is a function that may depend on properties of n.

Domaines: Analyse fonctionnelle [math.FA]

Farideh Firoozbakht, Maximilian F. Hasler. Variations on Euclid's Formula for Perfect Numbers. Journal of Integer Sequences, 2010, 13 (3), pp.1-18. ⟨hal-00761663⟩