34 citations · 268 across the 120 of their papers we have counts for
5 papers · 2 filters
Additive sumset sizes with tetrahedral differences
Melvyn B. Nathanson
Experimental calculations suggest that the -fold sumset sizes of 4-element sets of integers are concentrated at numbers that are differences of tetrahedral numbers. In this…
Triangular and tetrahedral number differences of sumset sizes in additive number theory
Melvyn B. Nathanson
The study of sums of finite sets of integers has mostly concentrated on sets with very small sumsets (Freiman's theorem and related work) and on sets with very large sumsets (Sidon…
Compression and complexity for sumset sizes in additive number theory
Melvyn B. Nathanson
The study of sums of finite sets of integers has mostly concentrated on sets with small sumsets (Freiman's theorem and related work) and on sets with large sumsets (Sidon sets and…
Explicit sumset sizes in additive number theory
Melvyn B. Nathanson
It is an open problem in additive number theory to compute and understand the full range of sumset sizes of finite sets of integers, that is, the set $\mathcal{R}_{\mathbf{Z}}(h,k)…
-independence and the construction of -sets of integers and lattice points
Melvyn B. Nathanson
This paper gives a simple -vector space construction of finite -sets of integers and lattice points.