Journal of Integer Sequences, Vol. 12 (2009), Article 09.5.2

On the Bi-Unitary Analogues of Euler's Arithmetical Function and the Gcd-Sum Function

László Tóth
Institute of Mathematics and Informatics
University of Pécs
Ifjúság u. 6
7624 Pécs


We give combinatorial-type formulae for the bi-unitary analogues of Euler's arithmetical function and the gcd-sum function and prove asymptotic formulae for the latter one and for another related function.

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(Concerned with sequences A000010 A001221 A005361 A008683 A018804 A047994 A145388.)

Received April 24 2009; revised version received June 22 2009. Published in Journal of Integer Sequences, June 23 2009.

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