Singmaster-type results for Stirling numbers and some related diophantine equations
Number Theory
2023-11-13 v1 Combinatorics
Abstract
Motivated by the work of David Singmaster, we study the number of times an integer can appear among the Stirling numbers of both kinds. We provide an upper bound for the occurrences of all the positive integers, and present certain questions for further study. Some numerical results and conjectures concerning the related diohantine equations are collected.
Keywords
Cite
@article{arxiv.2311.06080,
title = {Singmaster-type results for Stirling numbers and some related diophantine equations},
author = {András Bazsó and István Mező and {Á}kos Pintér and Szabolcs Tengely},
journal= {arXiv preprint arXiv:2311.06080},
year = {2023}
}