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On the Davison Convolution of Arithmetical Functions

Published online by Cambridge University Press:  20 November 2018

Pentti Haukkanen
Pentti Haukkanen*
Affiliation:
Department of Mathematical Sciences University of Tampere Tampere, Finland
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Abstract

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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.

Keywords

10A20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 4 , 01 December 1989 , pp. 467 - 473
Copyright
Copyright © Canadian Mathematical Society 1989

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