Luka Milićević

activity

20192026

most citedAn inverse theorem for Freiman multi-homomorphisms

9 citations · 10 across the 3 of their papers we have counts for

collaborators

4 papers

math.CO2026

A quasipolynomial inverse theorem for the $U^{k} (F_{p}^{n})$ norm in the high characteristic

Luka Milićević

We prove an inverse theorem for the Gowers uniformity norm $U^{k} (F_{p}^{n})$ with quasipolynomial bounds in the case when $p \geq k$ . The inverse theorem follows from…

math.CO2023

A note on transverse sets and bilinear varieties

Luka Milićević

Let $G$ and $H$ be finite-dimensional vector spaces over $F_{p}$ . A subset $A \subseteq G \times H$ is said to be transverse if all of its rows $\{x \in G \colon (x,y) \in A…

math.CO2020★ 9 cited

An inverse theorem for Freiman multi-homomorphisms

W. T. Gowers, L. Milićević

Let $G_{1}, \dots, G_{k}$ and $H$ be vector spaces over a finite field $F_{p}$ of prime order. Let $A \subset G_{1} \times \dots \times G_{k}$ be a set of size $δ ∣ G_{1} ∣ \dots ∣ G_{k} ∣$ .…

math.CO2019★ 1 cited

A note on extensions of multilinear maps defined on multilinear varieties

W. T. Gowers, L. Milićević

Let $G_{1}, \dots, G_{k}$ be finite-dimensional vector spaces over a finite field $F$ . A multilinear variety of codimension $d$ is a subset of $G_{1} \times \dots \times G_{k}$ de…

A quasipolynomial inverse theorem for the Uk(Fpn​) norm in the high characteristic

A note on transverse sets and bilinear varieties

An inverse theorem for Freiman multi-homomorphisms

A note on extensions of multilinear maps defined on multilinear varieties

A quasipolynomial inverse theorem for the $U^{k} (F_{p}^{n})$ norm in the high characteristic