Lectures related to Modular Arithmetic: Foundations and Applications

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Covers the RSA cryptosystem, encryption, decryption, group theory, Lagrange's theorem, and practical applications in secure communication.

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

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.