On the estimate M(x)=o(x) for Beurling generalized numbers
Abstract
We show that the sum function of the M\"obius function of a Beurling number system must satisfy the asymptotic bound M(x)=o(x) if it satisfies the prime number theorem and its prime distribution function arises from a monotone perturbation of either the classical prime numbers or the logarithmic integral.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.