ABSTRACT

It was shown in Chapter III that a multiplicative function f of a single variable satisfied an identity called its ‘Identical Equation’ [1]. The identity for f (see Theorem 29, Chapter III) is given by () f ( nr ) = ∑ t|n ∑ d|r f ( n t ) f ( r d ) f − 1 ( td ) ψ ( t,d ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315139463/240bbb93-6815-40d4-a336-935ccad8ea72/content/eq995.tif"/>