Dirichlet Prime Number Theorem
نویسنده
چکیده
In number theory, the prime number theory describes the asymptotic distribution of prime numbers. We all know that there are infinitely many primes,but how are they distributed? Dirichlet’s theorem states that for any two positive coprime integers a and d, there are infinitely many primes which are congruent to a modulo d. A stronger form of Dirichlet’s theorem states that the sum of the reciprocals of the prime numbers with the same modulo diverges, and different progressions with the same modulus have approximately the same proportions of primes. We will walk through the proofs of Dirichlet’s theorem, and introduce some related topics, such as the Riemann-zeta function and quadratic field.
منابع مشابه
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