This research demonstrates that popular sumset sizes align with tetrahedral numbers in integer sets, highlighting construction techniques.
Experimental calculations suggest that the h-fold sumset sizes of 4-element sets of integers are concentrated at h numbers that are differences of tetrahedral numbers. In this paper it is proved that these "popular" sumset sizes always exist. Explicit h-adically defined sets are constructed for each of these numbers.
No takes yet. Share an insight, caveat, or question.
Melvyn B. Nathanson (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: