EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 55(69), pp. 9--17 (1994)

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On certain divisor functions in short intervals

Aleksandar Ivi\'c

Katedra Matematike RGF-a, Universiteta u Beogradu, Djusina 7, Beograd, Yugoslavia

Abstract: 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

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition