On the number of finite additive 2-bases
Combinatorics
2026-05-22 v2 Discrete Mathematics
Abstract
The number of finite additive 2-bases is known to grow exponentially. While this fact has been established by Marzuola and Miller (2010) using complex analytic techniques embedded in the study of numerical sets, we provide a direct, short proof using elementary probabilistic arguments.
Keywords
Cite
@article{arxiv.2605.19449,
title = {On the number of finite additive 2-bases},
author = {Stefan Weltge and Konrad Zyhalko},
journal= {arXiv preprint arXiv:2605.19449},
year = {2026}
}
Comments
4 pages; minor fix in the proof of Theorem 1.1