Functions of Slow Increase and Integer Sequences
Universidad Nacional de Luján
We study some properties of functions that satisfy the condition
We call these ``functions of slow increase'',
since they satisfy the condition
A typical example of a function of slow increase is the function
As an application, we obtain some general results on sequence
positive integers that satisfy the asymptotic formula
is a function of slow increase.
Full version: pdf,
Received September 14 2009;
revised version received December 21 2009.
Published in Journal of Integer Sequences, December 23 2009.
Journal of Integer Sequences home page