Menon's identity and arithmetical sums representing functions of several variables

Details Menon's identity and arithmetical sums representing functions of several variables Menon's identity and arithmetical sums representing functions of several variables

2011-03-30

arxiv.org/abs/1103.5861v2

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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