34 citations · 268 across the 120 of their papers we have counts for
9 papers · 1 filter
-sets and perturbations in normed vector spaces
Melvyn B. Nathanson
The subset of a normed vector space is a -set if every element of the sumset has a unique representation as a sum of elements of . Let $\vare…
Sidon sets with -separated sumsets in additive number theory
Melvyn B. Nathanson
The set is a -set if every element of the sumset has a unique representation as a sum of elements of . A -set is also called a Sidon set. A -set…
A problem on sumset sizes of sets of lattice points
Melvyn B. Nathanson
A central problem in additive number theory is to understand the set of sizes of -fold sums of finite subsets of an additive abelian semigroup. It is proved that the "range of s…
Problems in additive number theory, VII: The structure of additive -bases for
Melvyn B. Nathanson
In additive number theory, a finite set of integers is an -basis for if every integer in can be represented as the sum of exactly not necessari…
Diversity, equity, and inclusion for problems in additive number theory
Melvyn B. Nathanson
This is a survey of the diversity of problems in additive number theory. Equity requires the consideration of less currently popular problems, and suggests their inclusion in the a…
Problems and results on intersections of product sets and sumsets in semigroups
Melvyn B. Nathanson
For every subset of a semigroup , let be the set of all products of elements of . If is a family of subsets of , then $A = \bigcap_{q \in Q} A…