Arithmetic function: Difference between revisions

Revision as of 23:37, 26 November 2022

Revision as of 23:39, 26 November 2022

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===''D''(''n'') – Arithmetic derivative===

Using the [[Differential operator#Notations|Heaviside notation]] for the derivative, '''the [[Arithmeticarithmetic derivative|]] ''D''(''n'')]]''' is a function such that

* <math> D(n) = 1</math> if ''n'' prime, and

* <math>D(mn) = m D(n) + D(m) n</math> (the [[Productproduct rule]])

==Summation functions==