An Alternating Sum Involving the Reciprocal of Certain Multiplicative Functions
2, allée de la Combe
19, rue Louise Michel
We establish an asymptotic formula for an alternating sum of the
reciprocal of a class of multiplicative functions. The proof is
straightforward and uses classical convolution techniques. Numerous
examples are given.
Full version: pdf,
(Concerned with sequences
Received February 9 2013;
revised version received March 3 2013; June 12 2013.
Published in Journal of Integer Sequences, June 16 2013.
Journal of Integer Sequences home page