All Questions
2
questions with no upvoted or accepted answers
1
vote
0
answers
102
views
Relative prime density of $f(n)$
Relative prime density of $f(n)$
Definition
Number of primes of $f(n)$
Using the prime counting function $\pi(n)$, we can define the number of primes $\pi_{nbr}$ of a function $f(n)$ from $n=1$ to $...
- 1,282
1
vote
1
answer
45
views
Limit of products in $x_n = 1-An^{-\alpha}$ and their summation
Suppose that we have $A >0, \alpha >0$, and for each $n$, define $x_n = 1-An^{-\alpha}$ such that for large $n$ we have $x_n \in (0,1)$. Also, define the product sequence, $y_n = \prod_{i=0}^n ...
- 11