Introduction to number theory lecture 49. Dirichlets theorem @richarde.borcherds7998
Introduction to number theory lecture 49. Dirichlets theorem  @richarde.borcherds7998
Uploaded April 2022 | Updated September 2026, 2 weeks ago
This lecture is part of my Berkeley math 115 course "Introduction to number theory"
For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8

We give an overview of the proof of Dirichlet's theorem, and give some examples of Dirichlet characters.

The textbook is "An introduction to the theory of numbers" by Niven, Zuckerman, and Montgomery (5th edition).
Introduction to number theory lecture 49. Dirichlets theoremGalois theory: Main theoremTheory of numbers: Congruences: Chinese remainder theoremModular forms: IntroductionModular forms: Fourier coefficients of Eisenstein seriesIntroduction to number theory lecture 10. Fermats theoremRings and modules 4  Unique factorizationGalois theory: Galois extensionsWilsons theoremModular forms: Hecke operators for formsLie groups: Engels theoremComplex analysis: Holomorphic functions
Richard E Borcherds |

Introduction to number theory lecture 49. Dirichlet's theorem

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