Lectures related to Functional Equation of Zeta

Discusses holomorphic functions, focusing on the Cauchy-Riemann equations and their applications in complex analysis.

Explores polynomial equations, their degree, solutions, and domain definition.

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

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Covers the fixed points of the Ruelle-Thurston operator and its applications in complex analysis.

Covers the fundamentals of complex analysis, focusing on complex functions, their properties, and applications in solving differential equations.