MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
On some multivariate summatory functions of the Euler phi-function
K. Algali

Abstract

In this note we obtain an asymptotic formula with a power saving error term for the summation function of Euler phi-function evaluated at iterated and generalized least common multiples of four integer variables.

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Keywords: Euler phi-function; multiplicative functions; least common multiple; greatest common divisor; asymptotic formula.

MSC: 11A25, 11N37,11N60,11A05

Pages:  344$-$349     

Volume  70 ,  Issue  4 ,  2018