Question

State and prove Dirichlet Theorem !

Topic :- Multiple Integrals ​

Answer 1

Answer:

Dirichlet's theorem states that if q and l are two relatively prime positive integers, there are infinitely many primes of the form l+kq. Dirichlet's theorem is a generalized statement about prime numbers and the theory of Fourier series on the finite abelian group (Z/qZ)* plays an important role in the solution.

Answer 2

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Dirichlet's theorem states that if q and l are two relatively prime positive integers, there are infinitely many primes of the form l+kq. Dirichlet's theorem is a generalized statement about prime numbers and the theory of Fourier series on the finite abelian group (Z/qZ)* plays an important role in the solution.

Help me:-

$\huge \bold{ \gamma = \displaystyle \lim_{x \to \infty} \Bigg(\sum\limits_{k=1}^{n} \frac{1}{k} - \displaystyle \ln \: n \Bigg)}$