This lecture completes the proof of Hadamard Factorization and uses it to derive an expression for the zeta function in terms of its zeros. The slides cover topics such as the order of zeros, Jensen's formula, and the behavior of the zeta function near the zeros. The instructor discusses the significance of the zeros of the zeta function and their relation to the function's properties. The lecture also delves into the concept of non-trivial zeros and their implications in number theory and complex analysis.