Thomas Fallon

most citedThe Fuglede Conjecture holds in $\F_p^3$ for p=5,7

6 citations · 8 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2021★ 2 cited

Spectral sets and tiles in $Z_{p}^{2} \times Z_{q}^{2}$

Thomas Fallon, Gergely Kiss, Gábor Somlai

In this paper we study Fuglede's conjecture on the direct product of two cyclic groups. After collecting the known results we prove that Fuglede's conjecture holds on $\mathbb{Z}_{…

math.CA2019★ 6 cited

The Fuglede Conjecture holds in $\F_p^3$ for p=5,7

Thomas Fallon, Azita Mayeli, Dominick Villano

For p=5,7, we show that a subset $E \subset \F_p^3$ is spectral if and only if E tiles $\F_p^3$ by translation. Additionally, we give an alternate proof that the conjecture hol…

Spectral sets and tiles in Zp2​×Zq2​

The Fuglede Conjecture holds in \(\F_p^3\) for p=5,7

Spectral sets and tiles in $Z_{p}^{2} \times Z_{q}^{2}$