Additive function: Difference between revisions

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[[Category:Mathematics]] [[Category:Number theory]]

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In [[number theory]], an '''additive function''' is an [[arithmetic function]] ''f''(''n'') of the positive [[integer]] ''n'' such that whenever ''a'' and ''b'' are [[coprime]] we have:

:''f''(''ab'') = ''f''(''a'') + ''f''(''b'').

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One such example is ''g''(''n'') = 2^''f''(''n'').

== Sources: ==

# Janko Bra&#269;i&#269;, ''Kolobar aritmeti&#269;nih funkcij'' (''[[Ring (algebra)|Ring]] of arithmetical functions''), (Obzornik mat, fiz. '''49''' (2002) 4, pp 97 - 108) <font color=darkblue> (MSC (2000) 11A25) </font>

[[de:Additivität]]

[[sv:Additiv funktion]]