Theory of numbers: Congruences: Introduction @richarde.borcherds7998

Uploaded January 2021 | Updated September 2026, 2 weeks ago

This lecture is part of an online undergraduate course on the theory of numbers.

This lecture introduces congruences. We give some examples of using congruences to study the problem of which integers can be written as a sum of 2 or 3 squares or 3 cubes.

For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj52Qf7lc3HHvHRdIysxEcj1H

Theory of numbers: Congruences: Introduction

Theory of numbers: Congruences: Primitive roots

Introduction to number theory lecture 34. Gauss sums

Galois theory: Examples of Galois extensions

Introduction to number theory lecture 27. Groups and number theory

Elliptic functions lecture 4. The sigma function