D. Grynkiewicz

activity

20072012

most citedWeighted Sequences in Finite Cyclic Groups

5 citations · 20 across the 15 of their papers we have counts for

collaborators

Showing 2009Show all

4 papers · 1 filter

math.AC2009

On the arithmetic of Krull monoids with infinite cyclic class group

A. Geroldinger, D. J. Grynkiewicz, G. J. Schaeffer +1

Let $H$ be a Krull monoid with infinite cyclic class group $G$ and let $G_{P} \subset G$ denote the set of classes containing prime divisors. We study under which conditions on $G_{P}$ …

math.NT2009

Long Arithmetic Progressions in Sets with Small Sumset

Itziar Bardaji, David J. Grynkiewicz

Let $A, B \subseteq Z$ be finite, nonempty subsets with $min A = min B = 0$ , and let $$δ(A,B)={\begin{array}{ll} 1 & \hbox{if} A\subseteq B, 0 & \hbox{otherwise.} If $\max B\…

math.CO2009★ 1 cited

Note on a Conjecture of Graham

David J. Grynkiewicz

An old conjecture of Graham stated that if $n$ is a prime and $S$ is a sequence of $n$ terms from the cyclic group $C_{n}$ such that all (nontrivial) zero-sum subsequences have the s…

math.NT2009★ 4 cited

A Weighted Generalization of Two Theorems of Gao

David J. Grynkiewicz, Luz Elimar Marchan, Oscar Ordaz

Let $G$ be a finite abelian group and let $A \subseteq Z$ be nonempty. Let $D_{A} (G)$ denote the minimal integer such that any sequence over $G$ of length $D_{A} (G)$ must conta…