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References to 'number of (nondistinct) prime factors function'
1.
$2^{\omega(n)} \le \tau(n) \le 2^{\Omega(n)}$
by
Wkbj79
2.
$\displaystyle x\log^2x=O\left(\sum_{n \le x} 2^{\Omega(n)} \right)$
by
Wkbj79
3.
$\displaystyle \sum_{n \le x} y^{\Omega(n)}=O\left( \frac{x(\log x)^{y-1}}{2-y} \right)$ for $1 \le y<2$
by
Wkbj79
4.
additive function
by
Wkbj79
5.
if $\mu(n) = (-1)^{\omega(n)}$ then $\tau(n) = 2^{\omega(n)}$
by
1and2and4
6.
moving average
by
PrimeFan
7.
number of distinct prime factors function
by
CompositeFan
8.
P\'olya's conjecture
by
PrimeFan
9.
sphenic number
by
CompositeFan
10.
table of polite number representations for $1 < n < 101$
by
PrimeFan