Additive function: Difference between revisions

Revision as of 23:59, 1 January 2025

Revision as of 00:00, 2 January 2025

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* The restriction of the [[Logarithm|logarithmic function]] to <math>\N.</math>

* The '''multiplicity''' of a [[Prime number|prime]] factor ''p'' in ''n'', that is the largest exponent ''m'' for which ''p^m'' [[Divisor|divides]] ''n''.

* {{anchor|Integer logarithim}} ''a''₀(''n'') – the sum of primes dividing ''n'' counting multiplicity, sometimes called sopfr(''n''), the potency of ''n'' or the '''integer logarithm''' of ''n'' {{OEIS|A001414}}. For example: {{anchor|Integer logarithim}}

::''a''₀(4) = 2 + 2 = 4