Does anyone knows where I could find the proof of Dirichlet's theorem on the analytic density of primes congruent to a certain integer $m$, which turns out to be $\frac{1}{\varphi(m)}$?
Thanks a lot.
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Sign up to join this communityDoes anyone knows where I could find the proof of Dirichlet's theorem on the analytic density of primes congruent to a certain integer $m$, which turns out to be $\frac{1}{\varphi(m)}$?
Thanks a lot.
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Serre's "Course in arithmetic" starts pretty low, and ends with that result. It is quite short too.
Try 'Introduction to analytic number theory' by T.Apostol (Chapter 7)
Or the Selberg article "An elementary proof of Dirichlet's theorem about primes in an arithmetic progression"
There is also several course note available on the web, just search for "Introduction to analytic number theory" or "Dirichlet's theorem" on google...