Nat Sothanaphan

activity

20152026

most citedFuglede's conjecture fails in 4 dimensions over odd prime fields

24 citations · 51 across the 13 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.CO2019★ 2 cited

Riesz bases of exponentials and multi-tiling in finite abelian groups

Sam Ferguson, Azita Mayeli, Nat Sothanaphan

Motivated by the open problem of exhibiting a subset of Euclidean space which has no exponential Riesz basis, we focus on exponential Riesz bases in finite abelian groups. We point…

math.NT2019★ 24 cited

Fuglede's conjecture fails in 4 dimensions over odd prime fields

Samuel Ferguson, Nat Sothanaphan

Fuglede's conjecture in $Z_{p}^{d}$ , $p$ a prime, says that a subset $E$ tiles $Z_{p}^{d}$ by translation if and only if $E$ is spectral, meaning any complex-valu…