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
@article{10_4153_CMB_1966_037_x,
author = {Davison, T.M. K.},
title = {On {Arithmetic} {Convolutions}},
journal = {Canadian mathematical bulletin},
pages = {287--296},
year = {1966},
volume = {9},
number = {3},
doi = {10.4153/CMB-1966-037-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-037-x/}
}
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