Fuglede's conjecture holds on cyclic groups $\mathbb{Z}_{pqr}$

DOI10.19086/da.10570zbMath1430.43005arXiv1805.11261OpenAlexW3103567579MaRDI QIDQ5211013

Ruxi Shi

Publication date: 17 January 2020

Published in: discrete Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.11261

zbMATH Keywords

spectral settilingFuglede's conjecturevanishing sums of roots of unity

Mathematics Subject Classification ID

Abstract harmonic analysis (43A99) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (14)

Spectral sets and tiles in \(\mathbb{Z}_p^2 \times \mathbb{Z}_q^2\) ⋮ On the structure of spectral and tiling subsets of cyclic groups ⋮ On the discrete Fuglede and Pompeiu problems ⋮ On \(p\)-adic spectral measures ⋮ Product-form Hadamard triples and its spectral self-similar measures ⋮ Tiling and spectrality for generalized Sierpinski self-affine sets ⋮ Spectral self-similar measures with alternate contraction ratios and consecutive digits ⋮ On rationality of spectrums for spectral sets in \(\mathbb{R} \) ⋮ Fuglede’s Conjecture Holds in \(\boldsymbol{\mathbb{Z}_{p}\times \mathbb{Z}_{p^{n}}}\) ⋮ The Coven-Meyerowitz tiling conditions for 3 odd prime factors ⋮ Equi‐distributed property and spectral set conjecture on Zp2×Zp ⋮ Combinatorial and harmonic-analytic methods for integer tilings ⋮ Fuglede's conjecture holds in \(\mathbb{Q}_p\) ⋮ Fuglede's conjecture holds for cyclic groups of order \(pqrs\)

Cites Work

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