Alternate Divergent Series of Number Theoretic Functions

List of alternate divergent series involving the following number theoretic functions:

$\sigma_0(n)$ denotes the count of divisors of the natural number $n$ .

$\sigma_1(n)$ denotes the sum of divisors of the natural number $n$ .

$\Omega(n)$ denotes the count of prime divisors of the natural number $n$ .

$\omega(n)$ denotes the count of distinct prime divisors of the natural number $n$ .

$\phi(n)$ denotes Euler’s totient function of the natural number $n$ .

GENERA

Pages: 1 2 3 4