Lectures related to Algebraic Functions: Two Gendarmes

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

Explores polynomial operations, properties, and subspaces in vector spaces.

Covers the theory of polynomials, including definitions, properties, and applications.

Explores examples and properties of continuous functions, including limits and continuity.

Explores polynomials, their operations, and the concept of ideals in polynomial rings.

Explores the discrete log problem and index calculus method in cryptography.

Covers Coppersmith's method for finding small roots of polynomials modulo N efficiently.

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