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


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.

Full version:  pdf,    dvi,    ps,    latex    

(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.

Return to Journal of Integer Sequences home page