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Department of Mathematics, Statistics and Philosophy
FIN-33014 University of Tampere, Finland
An arithmetical function f is said to be weakly multiplicative if f is not identically zero and f(np) = f(n)f(p) for all positive integers n and primes p with (n, p) = 1. Every multiplicative function is a weakly multiplicative function but the converse is not true. In this note we study basic properties of weakly multiplicative functions with respect to the Dirichlet convolution.
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Cite this paper
Haukkanen, P. (2002). Basic properties of weakly multiplicative functions. Notes on Number Theory and Discrete Mathematics, 8(2), 70-74.