Multiplicative Functions and the Anatomy of Integers
Erdős–Kac, Granville–Soundararajan pretentiousness.
Multiplicative Functions and the Anatomy of Integers. Erdős–Kac, Granville–Soundararajan pretentiousness.
Foundations and canonical references
The standard treatments of multiplicative functions and the anatomy of integers approach the subject from complementary angles. Tenenbaum, Introduction to Analytic and Probabilistic Number Theory (2015) 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 multiplicative functions and the anatomy of integers 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 · 2015Introduction to Analytic and Probabilistic Number Theorytenenbaum-2015
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