7 citations · 7 across the 1 of their papers we have counts for
7 papers
An Inverse Theorem for Certain Directional Gowers Uniformity Norms
Luka Milićević
Let be a finite-dimensional vector space over a prime field with some subspaces . Let be a function. Generalizing th…
Polynomial bound for partition rank in terms of analytic rank
Luka Milićević
Let be vector spaces over a finite field with a non-trivial additive character . The analytic rank of a multilinear form $α\colon G…
An improved upper bound for the grid Ramsey problem
Luka Milićević
For a positive integer , let be the smallest such that, whenever the edges of the Cartesian product are -coloured, then there is a rectangle in wh…
Classification theorem for strong triangle blocking arrangements
Luka Milićević
A strong triangle blocking arrangement is a geometric arrangement of some line segments in a triangle with certain intersection properties. It turns out that they are closely relat…
A bilinear version of Bogolyubov's theorem
W. T. Gowers, L. Milićević
A theorem of Bogolyubov states that for every dense set in we may find a large Bohr set inside . In this note, motivated by the work on a quantitative i…
A quantitative inverse theorem for the norm over finite fields
W. T. Gowers, Luka Milićević
A remarkable result of Bergelson, Tao and Ziegler implies that if , is a positive integer, is a prime, is sufficiently large, and $f:\mathbb F_p^n\to\mathbb…