Luka Milićević

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20212024

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math.CO2022

Quantitative inverse theorem for Gowers uniformity norms $U^{5}$ and $U^{6}$ in $F_{2}^{n}$

Luka Milićević

We prove quantitative bounds for the inverse theorem for Gowers uniformity norms $U^{5}$ and $U^{6}$ in $F_{2}^{n}$ . The proof starts from an earlier partial res…

math.CO2021

Approximately Symmetric Forms Far From Being Exactly Symmetric

Luka Milićević

Let $V$ be a finite-dimensional vector space over $F_{p}$ . We say that a multilinear form $α : V^{k} \to F_{p}$ in $k$ variables is $d$ -approximately symmetric if t…

Quantitative inverse theorem for Gowers uniformity norms U5 and U6 in F2n​

Approximately Symmetric Forms Far From Being Exactly Symmetric

Quantitative inverse theorem for Gowers uniformity norms $U^{5}$ and $U^{6}$ in $F_{2}^{n}$