Geodesic
On the Davison Convolution of Arithmetical Functions
Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 467-473

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The Davison convolution of arithmetical functions f and g is defined by where K is a complex-valued function on the set of all ordered pairs (n, d) such that n is a positive integer and d is a positive divisor of n. In this paper we shall consider the arithmetical equations f(r) = g, f(r) = fg, f o g = h in f and the congruence (f o g)(n) = 0 (mod n), where f(r) is the iterate of f with respect to the Davison convolution.
DOI : 10.4153/CMB-1989-067-4
Mots-clés : 10A20 
Haukkanen, Pentti. On the Davison Convolution of Arithmetical Functions. Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 467-473. doi: 10.4153/CMB-1989-067-4
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     author = {Haukkanen, Pentti},
     title = {On the {Davison} {Convolution} of {Arithmetical} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {467--473},
     year = {1989},
     volume = {32},
     number = {4},
     doi = {10.4153/CMB-1989-067-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-067-4/}
}
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