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Completely multiplicative sequences are sequences with the property
![{\displaystyle \forall \,m,\,n\,\in \,\mathbb {N} ,\,a(mn)\,=\,a(m)\,a(n).\,}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/07065368c6c8eb4aa6c0e215f331d3a5178b6760)
Since
, we then have
See also
- Additive sequences and Category:Additive sequences (
)
- Completely additive sequences and Category:Completely additive sequences (
)
- Multiplicative sequences and Category:Multiplicative sequences (
)
- Completely multiplicative sequences and Category:Completely multiplicative sequences (
)
- Coprimality sequences and Category:Coprimality sequences (
)
- Coprime sequences and Category:Coprime sequences (
)
- Divisibility sequences and Category:Divisibility sequences (
)
- Strong divisibility sequences and Category:Strong divisibility sequences (
)
- Multiplicity sequences and Category:Multiplicity sequences (
)