Journal of Integer Sequences, Vol. 16 (2013), Article 13.2.16 |

Département de Mathématiques

Université Laval

Québec G1V 0A6

Canada

Imre Kátai

Computer Algebra Department

Eötvös Loránd University

1117 Budapest

Pázmány Péter Sétány I/C

Hungary

**Abstract:**

Letting *P*_{k}(*n*) stand for the *k*-th largest prime factor of
and given an irrational number
and a multiplicative function *f* such that |*f*(*n*)|=1 for all positive integers *n*, we prove that
as
.

Received October 7 2012;
revised version received October 27 2012.
Published in *Journal of Integer Sequences*, March 2 2013.

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