3 citations · 5 across the 2 of their papers we have counts for
7 papers · 1 filter
Generalized difference sets and autocorrelation integrals
Noah Kravitz
In 2010, Cilleruelo, Ruzsa, and Vinuesa established a surprising connection between the maximum possible size of a generalized Sidon set in the first natural numbers and the op…
Barely lonely runners and very lonely runners
Noah Kravitz
We introduce a sharpened version of the well-known Lonely Runner Conjecture of Wills and Cusick. Given a real number , let denote the distance from to the ne…
Linear extension numbers of -element posets
Noah Kravitz, Ashwin Sah
We address the following natural but hitherto unstudied question: what are the possible linear extension numbers of an -element poset? Let denote the set of all…
The largest -sum-free sets in compact abelian groups
Noah Kravitz
A subset of a finite abelian group is called -sum-free if In this paper, we extend this concept to compact abelian groups and study the qu…
A stronger connection between the Erdős-Burgess and Davenport constants
Noah Kravitz, Ashwin Sah
The Erdős-Burgess constant of a semigroup is the smallest positive integer such that any sequence over of length contains a nonempty subsequence whose elements mult…
Harborth Constants for Certain Classes of Metacyclic Groups
Noah Kravitz
The Harborth constant of a finite group is the smallest integer such that any subset of of size contains distinct elements whose product is $1…