JP Journal of Algebra, Number Theory and Applications
Volume 2, Issue 2, Pages 121 - 129
(August 2002)
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ON A PARTIAL ORDERING OF REGULAR ARITHMETICAL CONVOLUTIONS
Pentti Haukkanen (Finland)
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Abstract: The partial ordering
£
on
the set of regular arithmetical convolutions is
defined so that A £ B if
and only if A(n) Í B(n)
for
all positive integers n. In this paper, we
consider connections of the partial ordering with an
analog of additive and multiplicative functions. |
Keywords and phrases: partial ordering, arithmetical
convolution, additive function, multiplicative
function. |
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