Lectures related to Complex Polynomials and Factorization

Correlations of the Liouville function

Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.

Polynomials: Definitions and Operations

Covers the definition and operations of polynomials, including addition and multiplication, degree, coefficients, and their role in algebraic systems.

Vector Spaces: Properties and Operations

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Irreducibility Criteria in Rings

Explores irreducibility criteria in rings, emphasizing linear and reducible polynomials.

Reed Solomon Codes: Basics and Applications

Introduces Reed Solomon Codes, their applications, polynomial definitions, interpolation, roots, and the Fundamental Theorem of Algebra.

Integration on H_pxH and Arithmetic

Explores integration on H_pxH and arithmetic properties, including norms, structures, and polynomial factorization.

Polynomes: Irreducible Polynomials and Gaussian Lemma

Introduces irreducible polynomials and the Gaussian lemma for polynomial factorization.

Algebraic Expressions

Covers algebraic expressions, operations, factorization, and equation solving.