Category
Number theory
Related lectures (908)
Monster Group: Representation
Explores the Monster group, a sporadic simple group with a unique representation theory.
Dedekind Function: Analytic Continuation and Euler Product Formula
Covers the Dedekind function, Euler product formula, series convergence, and analytic continuation of logarithmic functions.
Prime Numbers: Deterministic Approaches
Introduces deterministic approaches to identify prime numbers and covers algorithms and modular arithmetic for prime number testing.
Prime Number Theorem
Explores the proof of the Prime Number Theorem and its implications in number theory.
Diffie-Hellman Cryptography: Key Exchange and ElGamal Encryption
Covers the Diffie-Hellman key exchange protocol and the ElGamal public-key cryptosystem.
Topology of Adeles
Covers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.
Number Theory: More Facts about Primes
Covers the distribution of primes, arithmetic progressions, Mersene primes, and Goldbach's Conjecture.
Effective Field Theory: Testing Weak Interactions
Explores effective field theory for testing weak interactions and parity violation through forward-backward asymmetry.
Commutative Groups: Foundations for Cryptography
Covers commutative groups and their significance in cryptography.
Functions and Periodicity
Covers functions, including even and odd functions, periodicity, and function operations.