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arXiv · 2605.26425

Problems in additive number theory, VII: The structure of additive $h$-bases for $n$

Melvyn B. Nathanson
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Abstract

In additive number theory, a finite set $A$ of integers is an $h$-basis for $n$ if every integer in $\{0,1,2,\ldots, n\}$ can be represented as the sum of exactly $h$ not necessarily distinct elements of $A$. This paper introduces a new class of problems for these and related additive bases. The problems are designed, in part, to be susceptible to solution by AI.

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Melvyn B. Nathanson. 2026-05-26. Problems in additive number theory, VII: The structure of additive $h$-bases for $n$. https://arxiv.org/abs/2605.26425

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