Conditions are examined for equality hA = intersection hA_q where A is the intersection of a strictly decreasing sequence of sets A_q in an additive abelian semigroup.
O’Bryant, On Nathanson’s triangular number phenomenon, arXiv:2506.20836
2 Pith papers cite this work. Polarity classification is still indexing.
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Constructs infinite families of k-element integer sets and computes their h-fold sumset sizes for h,k ≥ 3.
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Intersections of sumsets in additive number theory
Conditions are examined for equality hA = intersection hA_q where A is the intersection of a strictly decreasing sequence of sets A_q in an additive abelian semigroup.
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Explicit sumset sizes in additive number theory
Constructs infinite families of k-element integer sets and computes their h-fold sumset sizes for h,k ≥ 3.