Siegel’s theorem on primes in arithmetic progressions
Then the following holds:
(Siegel) For all , there is some constant such that
for every with .
Note that it follows from this theorem that the distribution of primes among invertible residue classes does not depend on the residue class - that is, primes are evenly distributed into such classes.
A form of Dirichlet’s theorem on primes in arithmetic progressions states that
This follows easily from on noting that .
|Title||Siegel’s theorem on primes in arithmetic progressions|
|Date of creation||2013-03-22 17:58:29|
|Last modified on||2013-03-22 17:58:29|
|Last modified by||rm50 (10146)|