On Arithmetic Convolutions
Canadian mathematical bulletin, Tome 9 (1966) no. 3, pp. 287-296

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Let A be the set of all functions from N, the natural numbers, to C the field of complex numbers. The Dirichlet product of elements f, g of A is given by where the summation condition means sum over all positive integers d which divide n.
Davison, T.M. K. On Arithmetic Convolutions. Canadian mathematical bulletin, Tome 9 (1966) no. 3, pp. 287-296. doi: 10.4153/CMB-1966-037-x
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