Introduction to number theory lecture 5. Primes.

Mordell-Weil theorem

Selberg trace formula

Riemann mapping theorem

Vinberg lecture part 4. Automorphic forms

Vinberg lecture part 3. Kac-Moody algebras

Vinberg lecture part 2. The reflection group of II25,1

Vinberg lecture part 1.Vinberg's algorithm

Elliptic functions lecture 4. The sigma function

Borwein integrals

Elliptic functions lecture 3. Jacobi functions

Elliptic functions 1. Weierstrass function.

Introduction to number theory lecture 53. Three calculators for number theorists

Introduction to number theory lecture 52. Nonvanishing of L series at s=1.

Introduction to number theory lecture 51. Proof of Dirichlet's theorem

Introduction to number theory lecture 50. Dirichlet characters

Introduction to number theory lecture 49. Dirichlet's theorem

Introduction to number theory lecture 47. The prime number theorem

Introduction to number theory lecture 46. Products of Dirichlet series

Introduction to number theory lecture 45 Dirichlet series

Introduction to number theory lecture 44 Pythagorean triangles

Introduction to number theory lecture 43 Gaussian integers

Introduction to number theory lecture 42. Examples of indefinite binary quadratic forms.

Introduction to number theory lecture 41: More examples of binary quadratic forms

Introduction to number theory lecture 40. Examples of positive definite forms