Convolutions with Unbounded Unity
Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 542-546
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On the set F of complex-valued arithmetic functions we construct an infinite family of convolutions, that is, binary operations ψ of the form so that (F, +, ψ) is a commutative ring, for which the unity is unbounded. Here + denotes pointwise addition.
Sitaramaiah, V.; Subbarao, M. V. Convolutions with Unbounded Unity. Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 542-546. doi: 10.4153/CMB-1991-085-3
@article{10_4153_CMB_1991_085_3,
author = {Sitaramaiah, V. and Subbarao, M. V.},
title = {Convolutions with {Unbounded} {Unity}},
journal = {Canadian mathematical bulletin},
pages = {542--546},
year = {1991},
volume = {34},
number = {4},
doi = {10.4153/CMB-1991-085-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-085-3/}
}
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