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math.NT2025
Discrete sumsets with one large summand
John T. Griesmer
If and are subsets of an abelian group, their sumset is . We study sumsets in discrete abelian groups, where at least one summand has positive…
math.NT2024
Intersective sets for sparse sets of integers
Pierre-Yves Bienvenu, John T. Griesmer, Anh N. Le +1
For , a subset is -intersective if for every having positive upper relative density, we have $R \cap (A - A) \neq \var…
math.NT2021
Bohr neighborhoods in generalized difference sets
John T. Griesmer
If is a set of integers having positive upper Banach density and are nonzero integers whose sum is zero, a theorem of Bergelson and Ruzsa says that the set $rA+sA+tA:=\…