Introduction to number theory lecture 27. Groups and number theory @richarde.borcherds7998
Introduction to number theory lecture 27. Groups and number theory  @richarde.borcherds7998
Uploaded March 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 show how many of the theorems of number theory are special cases of theorems of groups theory.

The textbook is "An introduction to the theory of numbers" by Niven, Zuckerman, and Montgomery (5th edition).
Introduction to number theory lecture 27. Groups and number theoryElliptic functions lecture 4. The sigma functionElliptic functions lecture 2Rings 13 Colimits and exactnessCategories 6 Monoidal categoriesRings 6 Prime and maximal idealsTheory of numbers:IntroductionRings 18 Hilberts theoremsLie groups: Lie groups and Lie algebrasTheory of numbers: Dirichlet seriesMordell-Weil theoremComplex analysis: Zeta function functional equation
Richard E Borcherds |

Introduction to number theory lecture 27. Groups and number theory

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