Lectures related to Hadamard Factorization and Zeros of Zeta

Explores the behavior of the zeta function and its explicit formula.

Covers the functional equation of zeta function and Jensen's formula in complex analysis.

Covers the definition and properties of the Riemann Zeta function, including convergence and singularities.

Explores the logarithmic derivative of the Zeta function using the Hadamard factorization.

Covers the functional equation of the Zeta function and the Hadamard factorization theorem.

Covers the Hadamard factorisation theorem for entire functions of order at most 1.

Covers the proof of the explicit formula for the non-vanishing of the zeta function at the 1-line.

Explores the Euler product theorem and Perron's formula in number theory and complex analysis.

Explores the proof of the Prime Number Theorem and its implications in number theory.

Explores the Riemann zeta function, its properties, applications, and analogies in number theory and algebraic geometry.