PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 55(69), pp. 917 (1994) 

On certain divisor functions in short intervalsAleksandar Ivi\'cKatedra Matematike RGFa, Universiteta u Beogradu, Djusina 7, Beograd, YugoslaviaAbstract: An asymptotic formula for the integral of the summatory function of $f(n)$ in short intervals is obtained, where $f(n)$ represents a certain divisor function. In particular $f(n)$ can be the characteristic function of the set of $k$free or $k$full numbers. Keywords: Divisor functions, squarefull and squarefree numbers, slowly varying functions Classification (MSC2000): 11N37; 26A12 Full text of the article:
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