Editing List of mathematical functions (section)

===Arithmetic functions===
{{main|Arithmetic function}}
* [[divisor function|Sigma function]]: [[Summation|Sums]] of [[Exponentiation|power]]s of [[divisor]]s of a given [[natural number]].
* [[Euler's totient function]]: Number of numbers [[coprime]] to (and not bigger than) a given one.
* [[Prime-counting function]]:  Number of [[prime number|prime]]s less than or equal to a given number.
* [[Partition function (number theory)|Partition function]]:  Order-independent count of ways to write a given positive integer as a sum of positive integers.
* [[Möbius function|Möbius μ function]]: Sum of the nth primitive roots of unity, it depends on the prime factorization of n.
* [[Prime omega function]]s
* [[Chebyshev function]]s
* [[Liouville function]], λ(''n'') = (–1)<sup>Ω(''n'')</sup>
* [[Von Mangoldt function]], Λ(''n'') = log&nbsp;''p'' if ''n'' is a positive power of the prime ''p''
* [[Carmichael function]]