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- W2037011403 abstract "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) neq 0} 1 / n < infty, the support of the Dirichlet convolution f * v possesses a positive asymptotic density. When f is a multiplicative function, we give also a quantitative version of this claim. This generalizes a previous result of P. Pollack and the author, concerning the support of Mobius and Dirichlet transforms of arithmetic functions." @default.
- W2037011403 created "2016-06-24" @default.
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- W2037011403 date "2014-01-01" @default.
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- W2037011403 title "On the asymptotic density of the support of a Dirichlet convolution" @default.
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- W2037011403 doi "https://doi.org/10.1016/j.jnt.2013.07.012" @default.
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