Arithmetic Functions
Multiplicative functions, Möbius inversion, and Dirichlet convolution.
Arithmetic Functions. Multiplicative functions, Möbius inversion, and Dirichlet convolution. This page collects canonical references that organise the subject and provide entry points to its main techniques.
Foundations and canonical references
The standard treatments of arithmetic functions approach the subject from complementary angles. Apostol, Introduction to Analytic Number Theory (1976) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for arithmetic functions include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1976Introduction to Analytic Number Theoryapostol-1976
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