I. Laba

activity

19992026

most citedOn sets of integers not containing long arithmetic progressions

21 citations · 107 across the 30 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.CO2024

Splitting for integer tilings

Izabella Łaba, Itay Londner

We consider translational integer tilings by finite sets $A \subset Z$ . We introduce a new method based on \emph{splitting}, together with a new combinatorial interpretation…

math.CO2024

Keller properties for integer tiling

Benjamin Bruce, Izabella Laba

Keller's conjecture on cube tilings asserted that, in any tiling of $R^{d}$ by unit cubes, there must exist two cubes that share a $(d - 1)$ -dimensional face. This is now know…

math.CO2024

Generalized polynomials and hyperplane functions in $(Z / p^{k} Z)^{n}$

Izabella Łaba, Charlotte Trainor

For $p$ prime, let $H^{n}$ be the linear span of characteristic functions of hyperplanes in $(Z / p^{k} Z)^{n}$ . We establish new upper bounds on the dimension o…

Splitting for integer tilings

Keller properties for integer tiling

Generalized polynomials and hyperplane functions in (Z/pkZ)n

Generalized polynomials and hyperplane functions in $(Z / p^{k} Z)^{n}$