Daniel Scheinerman

activity

20082023

most citedExplicit constructions of infinite families of MSTD sets

16 citations · 19 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2023

Ideal solutions in the Prouhet-Tarry-Escott problem

Don Coppersmith, Michael J. Mossinghoff, Danny Scheinerman +1

For given positive integers $m$ and $n$ with $m < n$ , the Prouhet-Tarry-Escott problem asks if there exist two disjoint multisets of integers of size $n$ having identical $k$ th momen…

math.CO2019★ 3 cited

Maximal determinants of sparse zero-one matrices

Daniel Scheinerman

We give upper bounds for the determinant of an $n \times n$ zero-one matrix containing $k n$ ones for integral $k$ . Our results improve upon a result of Ryser for $k = o (n^{1/3})$ . For…

math.NT2008★ 16 cited

Explicit constructions of infinite families of MSTD sets

Steven J. Miller, Brooke Orosz, Daniel Scheinerman

We explicitly construct infinite families of MSTD (more sums than differences) sets. There are enough of these sets to prove that there exists a constant C such that at least C / r…