Theory of numbers: Congruences: Chinese remainder theorem @richarde.borcherds7998
Theory of numbers: Congruences: Chinese remainder theorem  @richarde.borcherds7998
Uploaded February 2021 | Updated September 2026, 2 weeks ago
This lecture is part of an online undergraduate course on the theory of numbers.

We describe the Chinese remainder theorem, which can be used to reduce problems about congruences to problems about congruences modulo prime powers. We give a few applications, including a sharper version of Euler's theorem.




For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj52Qf7lc3HHvHRdIysxEcj1H
Theory 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 functionsCategories 4 Adjoint functorsIntroduction to number theory lecture 33. Quadratic reciprocity
Richard E Borcherds |

Theory of numbers: Congruences: Chinese remainder theorem

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