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searching for Completely multiplicative function 2 found (13 total)

alternate case: completely multiplicative function

Unit function (141 words) [view diff] exact match in snippet view article find links to article

In number theory, the unit function is a completely multiplicative function on the positive integers defined as: ε ( n ) = { 1 , if  n = 1 0 , if  n ≠
Bell series (713 words) [view diff] exact match in snippet view article find links to article
{Id}}_{k})_{p}(x)={\frac {1}{1-p^{k}x}}.} Here, Idk is the completely multiplicative function Id k ⁡ ( n ) = n k {\displaystyle \operatorname {Id} _{k}(n)=n^{k}}