L. Mili'cevi'c

activity

20242026

collaborators

4 papers

math.CO2026

General inverse theory for the $U^{4}$ norm

Luka Milićević

In this paper, we develop a quantitative inverse theory for the Gowers uniformity norm $∥ \cdot ∥_{U^{4}}$ in general finite abelian groups. We identify a new type of obstru…

math.CO2025

Möbius function is strongly orthogonal to polynomial phases over $F_{p} [t]$

Luka Milićević, Žarko Ranđelović

In this paper, we prove power-saving bounds for the corelation of the Möbius function with polynomial phases of degree $k$ in function fields $F_{p} [t]$ , when $p > k$ . The p…

math.CO2025

Low-codimensional Subvarieties Inside Dense Multilinear Varieties

Luka Milićević

Let $G_{1}, \dots, G_{k}$ be finite-dimensional vector spaces over a prime field $F_{p}$ . Let $V$ be a variety inside $G_{1} \times \dots \times G_{k}$ defined by a multilinear map…

math.CO2024

Quasipolynomial inverse theorem for the $U^{4} (F_{p}^{n})$ norm

Luka Milićević

The inverse theory for Gowers uniformity norms is one of the central topics in additive combinatorics and one of the most important aspects of the theory is the question of bounds.…

General inverse theory for the U4 norm

Möbius function is strongly orthogonal to polynomial phases over Fp​[t]

Low-codimensional Subvarieties Inside Dense Multilinear Varieties

Quasipolynomial inverse theorem for the U4(Fpn​) norm

General inverse theory for the $U^{4}$ norm

Möbius function is strongly orthogonal to polynomial phases over $F_{p} [t]$

Quasipolynomial inverse theorem for the $U^{4} (F_{p}^{n})$ norm