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On Arithmetic Convolutions

Published online by Cambridge University Press:  20 November 2018

T.M. K. Davison
T.M. K. Davison*
Affiliation:
University of Waterloo
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Let A be the set of all functions from N, the natural numbers, to C the field of complex numbers. The Dirichlet product of elements f, g of A is given by

where the summation condition means sum over all positive integers d which divide n.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 3 , August 1966 , pp. 287 - 296
Copyright
Copyright © Canadian Mathematical Society 1966

References

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