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 .
The number of squares and sets
The -adic valuations of sequences counting alternating sign matrices.
The Ramsey-type version of a problem of Pomerance and Schinzel
The structure of maximum subsets of with no solutions to .
Tiling proofs of some formulas for the Pell numbers of odd index.
Touchard polynomials, partial Bell polynomials and polynomials of binomial type.