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Convolutions with Unbounded Unity
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1991
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