In number theory, a normal order of an arithmetic function is some simpler or better-understood function which "usually" takes the same or closely approximate values.
Let ƒ be a function on the natural numbers. We say that g is a normal order of ƒ if for every ε > 0, the inequalities
hold for almost all n: that is, if the proportion of n ≤ x for which this does not hold tends to 0 as x tends to infinity.
It is conventional to assume that the approximating function g is continuous and monotone.
Read more about Normal Order Of An Arithmetic Function: Examples, See Also
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