Eshita Mazumdar

collaborators

2 papers

math.AC2023

Optimal Bounds on the Growth of Iterated Sumsets in Abelian Semigroups

Shalom Eliahou, Eshita Mazumdar

We provide optimal upper bounds on the growth of iterated sumsets $h A = A + \dots + A$ for finite subsets $A$ of abelian semigroups. More precisely, we show that the new upper bounds rec…

math.AC2020

Iterated sumsets and Hilbert functions

Shalom Eliahou, Eshita Mazumdar

Let A be a finite subset of an abelian group (G, +). Let h $\geq$ 2 be an integer. If |A| $\geq$ 2 and the cardinality |hA| of the h-fold iterated sumset hA = A + $\times$ $\times$ $…