Some arithmetic functions involving exponential divisors.
On the distribution of modulo one
In this paper, we give a new upper-bound for the discrepancy for the sequence , when and .
The distribution of square-free numbers of the form
It is proved that the sequence contains infinite squarefree integers whenever , which improves Rieger’s earlier range .
On the average number of direct factors of finite abelian groups
On the average number of unitary factors of finite abelian groups
Multiple exponential sums with monomials
On the number of coprime integer pairs within a circle
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