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

collaborators

3 papers

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.CO2017

Distances from points to planes

P. Birklbauer, A. Iosevich, T. Pham

We prove that if $E \subset F_{q}^{d}$ , $d \geq 2$ , $F \subset Graff (d - 1, d)$ , the set of affine $d - 1$ -dimensional planes in $F_{q}^{d}$ , then $|Δ(E,F)| \ge \fra…

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​

Distances from points to planes

A two-parameter finite field Erdős-Falconer distance problem

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