Integer Sets of Large Harmonic Sum Which Avoid Long Arithmetic Progressions
Number Theory
2025-09-05 v2 Combinatorics
Abstract
We give conditions under which certain digit-restricted integer sets avoid -term arithmetic progressions. These sets and their harmonic sums can be computed efficiently. Through large-scale search, we identify integer sets avoiding arithmetic progressions of length 4 and 10 whose harmonic sums exceed earlier "greedy" constructions.
Keywords
Cite
@article{arxiv.2203.06045,
title = {Integer Sets of Large Harmonic Sum Which Avoid Long Arithmetic Progressions},
author = {Alexander Walker},
journal= {arXiv preprint arXiv:2203.06045},
year = {2025}
}
Comments
9 pages, 1 figure