U.P. B. Science Bulletin, Series A 86(2) pp. 123–128.
ISSN/ISBN: Not available at this time. DOI: Not available at this time.
Abstract: In 2011, Anderson, Rolen and Stoehr proved the beautiful theorem that the partition function p(n) abides by “Benford’s Law”, which means that lim #{0≤n≤X : p(n)inbasebbeginswithstringf} =logb(f+1)−logb(f) (mod1). X→+∞ X Here we prove that MacMahon’s plane partition function PL(n) also abides by Benford’s Law. This result is obtained by applying their general method to strong asymptotics for PL(n).
Bibtex:
@article{,
author = { Katherine Douglass and Ken Ono},
title = {The plane partition function abides by Benford’s law},
year = {2024},
journal = {U.P.B. Science Bulletin, Series A},
volume = {86},
number = {2},
pages = {123-128},
url = { https://uva.theopenscholar.com/ken-ono/publications/plane-partition-function-abides-benfords-law},
}
Reference Type: Journal Article
Subject Area(s): Number Theory