Mamateli Kadir

collaborators

4 papers

math.CA2026

Translational tiles without spectra in finite abelian p-groups

Shilei Fan, Mamateli Kadir

We construct explicit translational tiles without spectra in three finite abelian $p$ -groups. The first is a $64$ -point subset of $Z_{4}^{4} \times Z_{2}^{2}$ . The other two are a $512$ -po…

math.CA2026

A characterization of compact open spectral sets in $Q_{p}^{d}$

Mamateli Kadir

Let $Ω\subset \Qp^d$ be a compact open set. Such a set, without lose of generality, admits a representation $Ω= \bigsqcup_{c \in C} (c + p^n\Zp^d)$, where $C \subset (\Z/p^n\Z)^d…

math.CA2026

Tiles and weak tiles in $Z_{pq}$

Mamateli Kadir, Kaibo Fan

This paper investigates the relationship between tiles and weak tiles in the context of finite cyclic group $Z_{pq}$ . We prove that weak tiles and translational tiles are…

math.CA2024

The structure of tiles in $Z_{p^{n}} \times Z_{q}$ and $Z_{p^{n}} \times Z_{p}$

Shilei Fan, Mamateli Kadir, Peishan Li

In this paper, we provide a geometric characterization of tiles in the finite abelian groups $ \mathbb{Z}_{p^n} \times \mathbb{Z}_q $ and \( \mathbb{Z}_{p^n} \times \mathbb{Z}_p…

Translational tiles without spectra in finite abelian p-groups

A characterization of compact open spectral sets in Qpd​

Tiles and weak tiles in Zpq​

The structure of tiles in Zpn​×Zq​ and Zpn​×Zp​

A characterization of compact open spectral sets in $Q_{p}^{d}$

Tiles and weak tiles in $Z_{pq}$

The structure of tiles in $Z_{p^{n}} \times Z_{q}$ and $Z_{p^{n}} \times Z_{p}$