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2026/109/1-2 (10) — DOI: 10.5486/PMD.2026.10465 — pp. 179-191

On problems of Nathanson related to minimal asymptotic bases

Authors: Chang Chen Orcid.org link for Chang Chen and Min Tang Orcid.org link for Min Tang

Abstract:

In this paper, we solved two open problems of Nathanson [A new class of minimal asymptotic bases, In: Combinatorial and Additive Number Theory V, Springer Proceedings in Mathematics \& Statistics, Vol. 395, Springer, Cham, 2022, 263—276].

Keywords: asymptotic bases, minimal asymptotic bases, $\mathcal{G}$-adic sequence

Mathematics Subject Classification: 11B13