A new class of minimal asymptotic bases
Number Theory
2022-12-14 v2 Combinatorics
Abstract
A set of nonnegative integers is an asymptotic basis of order if every sufficiently large integer can be represented as the sum of not necessarily distinct elements of . The asymptotic basis is minimal if removing any element of destroys every representation of infinitely many integers, and so is not an asymptotic basis of order for all . In this paper, a new class of minimal asymptotic bases is constructed.
Keywords
Cite
@article{arxiv.2006.14562,
title = {A new class of minimal asymptotic bases},
author = {Melvyn B. Nathanson},
journal= {arXiv preprint arXiv:2006.14562},
year = {2022}
}
Comments
10 pages; minor improvements and corrections