Theory of numbers: Dirichlet series @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.

We describe the correspondence between Dirichlet series and arithmetic functions, and work out the Dirichlet series of the arithmetic functions in the previous lecture.

Correction: Dave Neary pointed out that on the first sheet (bottom right) 13x39 should be 13x139

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

Complex analysis: Zeta function functional equation

Introduction to number theory lecture 49. Dirichlets theorem

Theory of numbers: Congruences: Chinese remainder theorem

Modular forms: Fourier coefficients of Eisenstein series

Introduction to number theory lecture 10. Fermats theorem

Rings and modules 4 Unique factorization