L. Milicevic

activity

20162021

most citedA quantitative inverse theorem for the

U^{4}

norm over finite fields

7 citations · 7 across the 1 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.CO2017

A bilinear version of Bogolyubov's theorem

W. T. Gowers, L. Milićević

A theorem of Bogolyubov states that for every dense set $A$ in $Z_{N}$ we may find a large Bohr set inside $A + A - A - A$ . In this note, motivated by the work on a quantitative i…

math.CO2017★ 7 cited

A quantitative inverse theorem for the $U^{4}$ norm over finite fields

W. T. Gowers, Luka Milićević

A remarkable result of Bergelson, Tao and Ziegler implies that if $c > 0$ , $k$ is a positive integer, $p \geq k$ is a prime, $n$ is sufficiently large, and $f:\mathbb F_p^n\to\mathbb…

math.CO2017

Covering complete graphs by monochromatically bounded sets

Luka Milićević

Given a $k$ -colouring of the edges of the complete graph $K_{n}$ , are there $k - 1$ monochromatic components that cover its vertices? This important special case of the well-known Lová…

A bilinear version of Bogolyubov's theorem

A quantitative inverse theorem for the U4 norm over finite fields

Covering complete graphs by monochromatically bounded sets

A quantitative inverse theorem for the $U^{4}$ norm over finite fields