${\mathbf Q}$-independence and the construction of $B_h$-sets of integers and lattice points

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arxiv 2502.13039 v3 pith:ACJFUYDX submitted 2025-02-18 math.NT

Melvyn B. Nathanson This is my paper · ORCID

classification math.NT

keywords constructionintegerslatticemathbfpointssetsfinitegives

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abstract

This paper gives a simple ${\mathbf Q}$-vector space construction of finite $B_h$-sets of integers and lattice points.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Triangular and tetrahedral number differences of sumset sizes in additive number theory
math.NT 2025-06 conditional novelty 5.0 of 10

For 4-element sets of integers, the most popular h-fold sumset sizes appear to equal C(h+3,3) minus the first h tetrahedral numbers, but only computer experiments are given.