Arithmetic function: Difference between revisions

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'''[[Prime factor|Ω(''n'')]]''', defined above as the number of prime factors of ''n'' counted with multiplicities, is completely additive (see [[Prime omega function]]).
 
===''ν''<sub>''p''</sub>(''n'') – [[P-adic ordervaluation|''p''-adic valuation]] of an integer ''n''===
For a fixed prime ''p'', '''''ν''<sub>''p''</sub>(''n'')''', defined above as the exponent of the largest power of ''p'' dividing ''n'', is completely additive.