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math.NT2013★ 1 cited
Covering an arithmetic progression with geometric progressions and vice versa
Carlo Sanna
We show that there exists a positive constant C such that the following holds: Given an infinite arithmetic progression A of real numbers and a sufficiently large integer n (depend…
math.NT2013
On the asymptotic density of the support of a Dirichlet convolution
Carlo Sanna
Let v be a multiplicative arithmetic function with support of positive asymptotic density. We prove that for any not identically zero arithmetic function f such that \sum_{f(n) \ne…