Primes in arithmetic progressions (II), and Gamma functions

This lecture delves into the existence of infinitely many primes in arithmetic progressions, presenting the idea of proof using Dirichlet's theorem. It also covers the Euler gamma function, defining it and discussing its properties, such as being an analytic function with simple poles at specific points. The lecture explores various corollaries related to the gamma function, including duplication and reflection formulas, and touches on Hadamard's factorization theorem.