REMARKS ON THE ARITHMETICAL FUNCTION $a_{p}(n)$

REMARKS ON THE ARITHMETICAL FUNCTION $a_{p}(n)$

In this paper,for any arbitrary two prime numbers $p$ and $q$ the relationship between the corresponding arithmetic functions $(a_p(n))$ and $(a_q(n))$ are investigated.~Furthermore, the general formula for statistical density of all sets on which the two arithmetic functions have the same value also established.

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