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math.MG2025
An improved lower bound to Erdos' problem concerning products of distances for fixed diameter
Nat Sothanaphan
Erdos, Herzog and Piranian asked whether, for points in the plane with fixed diameter (maximum distance between points), an arrangement of a regular -gon maximizes their pro…
math.NT2025
Irregular Stanley sequences plausibly do not have growth
Nat Sothanaphan
Stanley sequences starting from the set where is a positive integer have long been conjectured to be divided into two types: the "regular" type where the growth rate…