Gábor Somlai

works on

cyclic groups 1 direction problem 1 discrete fourier analysis 1 finite fields 1 fuglede's conjecture 1 inductive techniques 1 polynomial degree 1 range sum 1 spectral sets 1 square-free order 1 tiling 1

From the 2 of 8 linked papers with an AI index.

activity

20242026

collaborators

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math.CA2024

Spectrality of the product does not imply that the components are spectral

GÃ¡bor Somlai

Greenfeld and Lev conjectured that the Cartesian product of two sets $A$ and $B$ is spectral if and only if $A$ and $B$ are spectral. We construct a counterexample to this fact usi…

math.CA2024

Spectral Tile Direction in the Group $Z_{p^{2}} \times Z_{q^{2}} \times Z_{r}$

Thomas Fallon, Gergely Kiss, Azita Mayeli +2

Let $p$ , $q$ , and $r$ be distinct primes such that $p^{2} q^{2} < r$ . We prove that every spectral set in the cyclic group $Z_{p^{2} q^{2} r}$ is a tile. Since the reverse direction is…

Spectrality of the product does not imply that the components are spectral

Spectral Tile Direction in the Group Zp2​×Zq2​×Zr​

Spectral Tile Direction in the Group $Z_{p^{2}} \times Z_{q^{2}} \times Z_{r}$