Arithmetic Upper and Lower Bounds for the Denumerant Function
Number Theory
2023-01-13 v7
Abstract
We use an old elementary arithmetic argument to find new upper and lower bounds for Sylvester's denumerant function. These bounds are tight enough to get the asymptotic behavior of the denumerant.
Cite
@article{arxiv.2204.13689,
title = {Arithmetic Upper and Lower Bounds for the Denumerant Function},
author = {Gerardo Ballesio},
journal= {arXiv preprint arXiv:2204.13689},
year = {2023}
}
Comments
26 pages