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Note on arithmetic convolution equations

Authors:	Michal Feckan

Institution:	Department of Mathematical Analysis and Numerical Mathematics, Comenius University, Mlynská dolina, 842 48 Bratislava, Slovakia; and Mathematical Institute, Slovak Academy of Sciences, Stefánikova 49, 814 73 Bratislava, Slovakia

Abstract:	We investigate the solvability of polynomial equations on the $\mathbb{C}$ -algebra of arithmetic functions $g : \mathbb{N}\to\mathbb{C}$ .

Keywords:	Arithmetic functions Dirichlet convolution

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