MacMahon partition analysis: a discrete approach to broken stick problems

DOI10.1016/j.jcta.2021.105571zbMath1480.05009arXiv2107.10318OpenAlexW3215731023MaRDI QIDQ2068609

William Verreault

Publication date: 20 January 2022

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.10318

zbMATH Keywords

generating functionsgeometric probabilityMacMahon partition analysisbroken sticks

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Uses Software

• OEIS
• Omega

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lecture hall partitions
• The On-Line Encyclopedia of Integer Sequences
• On the probability of forming polygons from a broken stick
• Linear homogeneous Diophantine equations and magic labelings of graphs
• Macmahon's partition analysis IX:K-gon partitions
• The Broken Spaghetti Noodle
• Broken Bricks and the Pick-up Sticks Problem
• MacMahon's partition analysis: The Omega package

This page was built for publication: MacMahon partition analysis: a discrete approach to broken stick problems