Journal of Integer Sequences, Vol. 18 (2015), Article 15.3.7

A Multidimensional Cesáro Type Identity and Applications


Olivier Bordellès
2, allée de la Combe
43000 Aiguilhe
France

Abstract:

We generalize a well-known identity due to Cesáro and get some asymptotics on some multivariate gcd-sum functions. Several examples when the functions are completely multiplicative are given.

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(Concerned with sequence A018804.)

Received November 30 2014; revised versions received January 29 2015; February 11 2015. Published in Journal of Integer Sequences, February 15 2015.

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