Classical Zero Free Region for Zeta and Explicit Formula I

This lecture establishes the classical zero free region for the Zeta function and starts the proof of the explicit formula for $\psi(x)$. The slides cover topics such as Lemmas, the statement of the theorem, and the connection to the Abel-Summation formula. The instructor discusses the convergence of the explicit formula and the significance of residues. The lecture concludes with a detailed explanation of the Perron's formula and the importance of choosing appropriate parameters.