Limiting Distribution of Frobenius Numbers for $n=3$

TL;DR

This paper derives the limiting distribution of large Frobenius numbers for three numbers, filling gaps in previous work by Bourgain and Sinai to provide a complete theoretical understanding.

Contribution

It provides a rigorous derivation of the limiting distribution of Frobenius numbers for three integers, addressing previously unproven hypotheses.

Findings

Complete derivation of the limiting distribution for n=3

Fills gaps in earlier theoretical work

Confirms hypotheses proposed by Bourgain and Sinai

Abstract

The purpose of this paper is to give a complete derivation of the limiting distribution of large Frobenius numbers outlined in earlier work of J. Bourgain and Ya. Sinai and fill some gaps formulated there as hypotheses.