Template:Arithmetic function direct product upper bound

This article gives an upper bound on the value of the arithmetic function [[{{{arithmetic function}}}]] of an in terms of the values for the direct factors. It says that the value for the direct product is bounded from above by the [[{{{numerical operation}}}]] of the values for the direct factors.
View more facts about external direct product|View more facts about {{{arithmetic function}}}"{{{arithmetic function}}}" is not a number.|View more facts about {{{numerical operation}}}"{{{numerical operation}}}" is not a number.