Mathematics – Number Theory
Scientific paper
2011-04-11
Mathematics
Number Theory
12 pages
Scientific paper
We investigate arithmetical functions of $r$ variables defined as certain
sums of the products $c_{m_1}(g_1(k))... c_{m_r}(g_r(k))$, where $c_n(\ell)$
denote the Ramanujan sums and $g_1,..., g_r$ are polynomials with integer
coefficients. A modified orthogonality relation of the Ramanujan sums is also
derived.
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