P. Birklbauer

most citedA two-parameter finite field Erdős-Falconer distance problem

6 citations · 6 across the 3 of their papers we have counts for

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math.CA2019

The Fuglede conjecture holds in $Z_{5}^{3}$

Philipp Birklbauer

The Fuglede conjecture states that a set is spectral if and only if it tiles by translation. The conjecture was disproved by T. Tao for dimensions 5 and higher by giving a countere…

math.CA2017★ 6 cited

A two-parameter finite field Erdős-Falconer distance problem

Philipp Birklbauer, Alex Iosevich

We study the following two-parameter variant of the Erd\H os-Falconer distance problem. Given $E, F \subset F_{q}^{k + l}$ , $l \geq k \geq 2$ , the $k + l$ -dimensional vector space o…

The Fuglede conjecture holds in Z53​

A two-parameter finite field Erdős-Falconer distance problem

The Fuglede conjecture holds in $Z_{5}^{3}$