A. Iosevich

activity

19992025

most citedThe Fuglede Conjecture holds in

Z_{p} \times Z_{p}

46 citations · 413 across the 115 of their papers we have counts for

collaborators

Showing 2016Show all

6 papers · 1 filter

math.CA2016★ 1 cited

Pinned geometric configurations in Euclidean space and Riemannian manifolds

Alex Iosevich, Krystal Taylor, Ignacio Uriarte-Tuero

Let $M$ be a compact $d$ -dimensional Riemannian manifold without a boundary. Given $E \subset M$ , let $Δ_{ρ} (E) = {ρ (x, y) : x, y \in E}$ , where $ρ$ is the Riemannian metric on $M$ . Le…

math.NT2016

A variant of Waring's Problem for the ring of integers modulo n

David Covert, Alex Iosevich, Jonathan Pakianathan

We study a variant of Waring's problem for $Z_{n}$ , the ring of integers modulo $n$ : For a fixed integer $k \geq 2$ , what is the minimum number $m$ of $k$ th powers necessary…

math.CA2016★ 6 cited

An elementary approach to simplexes in thin subsets of Euclidean space

Allan Greenleaf, Alex Iosevich, Bochen Liu +1

We prove that if the Hausdorff dimension of $E \subset R^{d}$ , $d \geq 3$ , is greater than $min {\frac{d k + 1}{k + 1}, \frac{d + k}{2}},$ then the $(2 k + 1)$ -d…

math.CA2016★ 4 cited

Equilateral triangles in subsets of $R^{d}$ of large Hausdorff dimension

Alex Iosevich, Bochen Liu

We prove that subsets of $R^{d}$ , $d \geq 4$ of large enough Hausdorff dimensions contain vertices of an equilateral triangle. It is known that additional hypotheses are needed…

math.CA2016

Conjecture and improved extension theorems for paraboloids in the finite field setting

Doowon Koh

We study the extension estimates for paraboloids in d-dimensional vector spaces over finite fields F_q with q elements. We use the connection between L^2 based restriction estimate…

math.CA2016★ 1 cited

Wavelet decomposition and bandwidth of functions defined on vector spaces over finite fields

A. Iosevich, A. Liu, A. Mayeli +1

In this paper we study how zeros of the Fourier transform of a function $f : Z_{p}^{d} \to C$ are related to the structure of the function itself. In particular, we in…