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A linear programming approach to Fuglede's conjecture in
Z
p
3
\mathbb{Z}_p^3
Z
p
3
β
Authors
Romanos Diogenes Malikiosis
Publication date
27 December 2022
Publisher
View
on
arXiv
Abstract
We present an approach to Fuglede's conjecture in
Z
p
3
\mathbb{Z}_p^3
Z
p
3
β
using linear programming bounds, obtaining the following partial result: if
A
β
Z
p
3
A\subseteq\mathbb{Z}_p^3
A
β
Z
p
3
β
with
p
2
β
p
p
+
p
<
β£
A
β£
<
p
2
p^2-p\sqrt{p}+\sqrt{p}<|A|<p^2
p
2
β
p
p
β
+
p
β
<
β£
A
β£
<
p
2
, then
A
A
A
is not spectral.Comment: 13 page
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oai:arXiv.org:2212.13592
Last time updated on 16/01/2023