In mathematics, the Dirichlet density (or analytic density) of a set of primes, named after Peter Gustav Lejeune Dirichlet, is a measure of the size of the set that is easier to use than the natural density. == Definition == If A is a subset of the prime numbers, the Dirichlet density of A is the limit lim s → 1 + ∑ p ∈ A 1 p s ∑ p 1 p s {\displaystyle \lim _{s\rightarrow 1^{+}}{\frac {\sum _{p\in A}{1 \over p^{s}}}{\sum _{p}{\frac {1}{p^{s}}}}}} if it exists.
In mathematics, the Dirichlet density (or analytic density) of a set of primes, named after Peter Gustav Lejeune Dirichlet, is a measure of the size of the set that is easier to use than the natural density. == Definition == If A is a subset of the prime numbers, the Dirichlet density of A is the limit lim s → 1 + ∑ p ∈ A 1 p s ∑ p 1 p s {\displaystyle \lim _{s\rightarrow 1^{+}}{\frac {\sum _{p\in A}{1 \over p^{s}}}{\sum _{p}{\frac {1}{p^{s}}}}}} if it exists.
Source: Wikipedia "Dirichlet density" · CC BY-SA 4.0
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