D. Grynkiewicz

activity

20072012

most citedWeighted Sequences in Finite Cyclic Groups

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

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Showing 2008Show all

4 papers · 1 filter

math.NT2008★ 1 cited

1-Saturating Sets, Caps and Round Sets in Binary Spaces

David J. Grynkiewicz, Vsevolod F. lev

We show that, for a positive integer $r$ , every minimal 1-saturating set in $PG (r - 1, 2)$ of size at least $11/36 2^{r} + 3$ is either a complete cap or can be obtained from a co…

math.NT2008★ 3 cited

Representation of Finite Abelian Group Elements by Subsequence Sums

D. J. Grynkiewicz, E. Marchan, O. Ordaz

Let $G ≅ C_{n_{1}} \oplus ... \oplus C_{n_{r}}$ be a finite and nontrivial abelian group with $n_{1} ∣ n_{2} ∣...∣ n_{r}$ . A conjecture of Hamidoune says that if $W = w_{1} ... w_{n}$ is a sequence o…

math.NT2008

On Extending Pollard's Theorem for t-Representable Sums

David J. Grynkiewicz

Let $t \geq 1$ , let $A$ and $B$ be finite, nonempty subsets of an abelian group $G$ , and let $A\pp{i} B$ denote all the elements $c$ with at least $i$ representations of the form $c…

math.NT2008

Inverse Zero-Sum Problems III

Weidong Gao, Alfred Geroldinger, David J. Grynkiewicz

Let $G$ be a finite abeilian group. A sequence $S$ with terms from $G$ is zero-sum if the sum of terms in $S$ equals zero. It is a minimal zero-sum sequence if no proper, nontrivia…