Mathematics – Number Theory
Scientific paper
2011-03-30
Rend. Sem. Mat. Univ. Politec. Torino 69, 1 (2011), 97--110
Mathematics
Number Theory
12 pages, revised
Scientific paper
We generalize Menon's identity by considering sums representing arithmetical
functions of several variables. As an application, we give a formula for the
number of cyclic subgroups of the direct product of several cyclic groups of
arbitrary orders. We also point out extensions of Menon's identity in the one
variable case, which seems to not appear in the literature.
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