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arXiv · 2212.13592

A linear programming approach to Fuglede's conjecture in $\mathbb{Z}_p^3$

Romanos Diogenes Malikiosis
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Abstract

We present an approach to Fuglede's conjecture in $\mathbb{Z}_p^3$ using linear programming bounds, obtaining the following partial result: if $A\subseteq\mathbb{Z}_p^3$ with $p^2-p\sqrt{p}+\sqrt{p}<|A|<p^2$, then $A$ is not spectral.

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Romanos Diogenes Malikiosis. 2022-12-27. A linear programming approach to Fuglede's conjecture in $\mathbb{Z}_p^3$. https://arxiv.org/abs/2212.13592

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