This lesson will be focused on the article “Sur les zéros de la fonction Zeta de Riemann” by Godfrey Harold Hardy.
It’s a brief article, but it contains a result considered the first step made toward solving the Riemann Hypothesis: The proof that the Riemann Zeta Function has infinite zeros on the critical line.

For this demonstration, Hardy uses a variety of techniques that are now standard in Analytic Number Theory, such as Mellin and Fourier Transforms and Jacobi Theta functions.