Željka Ljujić

most citedA Lower Bound for the Size of a Sum of Dilates

10 citations · 12 across the 3 of their papers we have counts for

collaborators

5 papers

math.NT2011

On a partition problem of Canfield and Wilf

Zeljka Ljujic, Melvyn B. Nathanson

Let A and M be nonempty sets of positive integers. A partition of the positive integer n with parts in A and multiplicities in M is a representation of n in the form n = \sum_{a\in…

math.NT2011★ 10 cited

A Lower Bound for the Size of a Sum of Dilates

Zeljka Ljujic

Let $A$ be a subset of integers and let $2 \cdot A + k \cdot A = {2 a_{1} + k a_{2} : a_{1}, a_{2} \in A}$ . Y. O. Hamidoune and J. Ru\' e proved that if $k$ is an odd prime and $A$ a finite set of i…

math.NT2010★ 1 cited

Periodicity of complementing multisets

Zeljka Ljujic

Let $A$ be a finite multiset of integers. If $B$ be a multiset such that $A$ and $B$ are $t$ -complementing multisets of integers, then $B$ is periodic. We obtain the Biro-type uppe…

math.NT2010★ 1 cited

The inverse problem for the lattice points

Zeljka Ljujic, Camilo Sanabria

Fix an positive integer $n$ . Let $K \subseteq R^{n}$ be a compact set such that $K + Z^{n} = R^{n}$ . We prove, via Algebraic Topology, that the integer points of the…

math.NT2010

A note on the inverse problem for the lattice points

Zeljka Ljujic, Camilo Sanabria

Let $K \subseteq R^{2}$ be a compact set such that $K + Z^{2} = R^{2}$ . We prove, via Algebraic Topology, that the integer points of the difference set of $K$ , $(K-K…