Theory of numbers: Multiplicative functions @richarde.borcherds7998
Theory of numbers: Multiplicative functions  @richarde.borcherds7998
Uploaded January 2021 | Updated September 2026, 1 week ago
This lecture is part of an online undergraduate course on the theory of numbers.

Multiplicative functions are functions such that f(mn)=f(m)f(n) whenever m and n are coprime. We discuss some examples, such as the number of divisors, the sum of the divisors, and Euler's totient function.




For the other lectures in the course see youtube.com/playlist?list=PL8yHsr3EFj52Qf7lc3HHvHRdIysxEcj1H
Theory of numbers: Multiplicative functionsSelberg trace formulaCategories 5 Limits and colimitsLie groups: Lie algebrasLie groups: Poincare-Birkhoff-Witt theoremGalois theory: Hilberts theorem 90Modular forms: Fundamental domainHow to construct the Leech latticeIntroduction to number theory lecture 41: More examples of binary quadratic formsRIngs 15 PolynomialsRepresentations of GL2
Richard E Borcherds |

Theory of numbers: Multiplicative functions

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