Analyse 2: Division euclidienneExplores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.
Complex Roots and PolynomialsExplores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
Interlacing PolynomialsExplores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.
Attack on RSA using LLLCovers Coppersmith's method for attacking RSA encryption by efficiently finding small roots of polynomials modulo N.
Polynomial Identity TestingCovers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.