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arXiv:2212.13592 [math.CA]AbstractReferencesReviewsResources

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

Romanos Diogenes Malikiosis

Published 2022-12-27Version 1

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.

Comments: 13 pages
Categories: math.CA
Subjects: 43A46, 90C05, 52C22, 11L03, 20K01, 05B45
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