A linear programming approach to Fuglede's conjecture in ℤ_p³

2022/12/27 by Malikiosis, Romanos Diogenes
#05B45 #11L03 #20K01 #43A46 #52C22 #90C05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2212.13592

Abstract

We present an approach to Fuglede's conjecture in ℤ_p³ using linear programming bounds, obtaining the following partial result: if A⊆ℤ_p³ with p²-p√(p)+√(p)<|A|

Related

• Fuglede's conjecture holds on ℤ_p² × ℤ_q
• The Fuglede conjecture holds in ℤ³₅
• The Fuglede Conjecture holds in \(\F_p³\) for p=5,7
• Fuglede's conjecture holds in ℚ_p
• Spectral Tile Direction in the Group ℤ_p² × ℤ_q² × ℤ_r