Unitary convolution for arithmetical functions in several variables
Alkan, Emre ; Zaharescu, Alexandru ; Zaki, Mohammad
Hiroshima Math. J., Tome 36 (2006) no. 1, p. 113-124 / Harvested from Project Euclid
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In this paper we investigate the ring $A_r(R)$ of arithmetical functions in r variables over an integral domain R with respect to the unitary convolution. We study a class of norms, and a class of derivations on $A_r(R)$. We also show that the resulting metric structure is complete.
Publié le : 2006-03-14
Classification:  
@article{1147883399,
     author = {Alkan, Emre and Zaharescu, Alexandru and Zaki, Mohammad},
     title = {Unitary convolution for arithmetical functions in several variables},
     journal = {Hiroshima Math. J.},
     volume = {36},
     number = {1},
     year = {2006},
     pages = { 113-124},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1147883399}
}

Alkan, Emre; Zaharescu, Alexandru; Zaki, Mohammad. Unitary convolution for arithmetical functions in several variables. Hiroshima Math. J., Tome 36 (2006) no. 1, pp.  113-124. http://gdmltest.u-ga.fr/item/1147883399/