Sums of the form modulo a prime.
Sumsets avoiding squarefree integers
Sumsets in quadratic residues
We describe all sets which represent the quadratic residues in the sense that R = A + A or R = A ⨣ A. Also, we consider the case of an approximate equality R ≈ A + A and R ≈ A ⨣ A and prove that A is then close to a perfect difference set.
Sumsets of finite Beatty sequences.
Sure monochromatic subset sums
Symmetric subsets of lattice paths.
Tableau cycling and Catalan numbers.
The class of Erdős-Turán sets
The Coefficients of Cosh x/cos x.
The Davenport constant of a box
Given an additively written abelian group G and a set X ⊆ G, we let (X) denote the monoid of zero-sum sequences over X and (X) the Davenport constant of (X), namely the supremum of the positive integers n for which there exists a sequence x₁⋯xₙ in (X) such that for each non-empty proper subset I of 1,...,n. In this paper, we mainly investigate the case when G is a power of ℤ and X is a box (i.e., a product of intervals of G). Some mixed sets (e.g., the product of a group by a box) are studied...
The density of the set of sums
The EKG sequence.
The Erdős-Turán property for a class of bases
The factor-difference set of integers
The independence number of a subset of an Abelian group.
The lonely runner with seven runners.
The number of (2,3)-sum-free subsets of {1,...,n}
The number of k-sums of abelian groups of order k
The number of relatively prime subsets and phi functions for .
The number of relatively prime subsets of .