Category:Dirichlet's Theorem on Arithmetic Sequences
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This category contains pages concerning Dirichlet's Theorem on Arithmetic Sequences:
Let $a, q$ be coprime integers.
Let $\PP_{a, q}$ be the set of primes $p$ such that $p \equiv a \pmod q$.
Then $\PP_{a, q}$ has Dirichlet density:
- $\map \phi q^{-1}$
where $\phi$ is Euler's phi function.
In particular, $\PP_{a, q}$ is infinite.
Source of Name
This entry was named for Johann Peter Gustav Lejeune Dirichlet.
Pages in category "Dirichlet's Theorem on Arithmetic Sequences"
The following 4 pages are in this category, out of 4 total.