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Line 2: {{more footnotes\|date=February 2013}} In [[number theory]], an '''{{anchor\|definition-additive_function-number_theory}}additive function''' is an [[arithmetic function]] ''f''(''n'') of the positive [[integer]] ''n'' such that whenever ''a'' and ''b'' are [[coprime]], the function of the product is the sum of the functions:<ref name="Erdos1939">Erdös, P., and M. Kac. On the Gaussian Law of Errors in the Theory of Additive Functions. Proc Natl Acad Sci USA. 1939 April; 25(4): 206–207. [~~http~~https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1077746/ online]</ref> :''f''(''ab'') = ''f''(''a'') + ''f''(''b'').

Additive function: Difference between revisions