On Short Sums of Certain Multiplicative Functions

Volume 3, Issue 5, 2002

Article 70

ON SHORT SUMS OF CERTAIN MULTIPLICATIVE FUNCTIONS

22, RUE JEAN BARTHÉLEMY,
43000 LE PUY-EN-VELAY, FRANCE
E-Mail: borde43@wanadoo.fr

Received 30 August, 2002; Accepted 16 October, 2002.
Communicated by: L. Toth

ABSTRACT. We use the recent theory of integer points close to a smooth curve developed by Huxley-Sargos and Filaseta-Trifonov to get an asymptotic formula for short sums of a class of multiplicative functions.

Key words:
Multiplicative Functions, Short Sums, Integer points close to a curve.

2000 Mathematics Subject Classification:
11N37, 11P21

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