2025/04/17 by Kobin, Andrew
#11A25 #11G25 #18F30 #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2504.13328
In this expository note, we revisit several classical arithmetic functions - namely Euler's totient function, the divisor sum functions and Dedekind's ψ-function - within a unifying algebraic framework that highlights their connections to geometry. This framework builds on prior work involving zeta functions and Möbius inversion. While our main goal is to provide a clear context for similar constructions in the future, we also make an original observation regarding Dedekind's ψ-function.