3 papers
math.CO2026
Nearly-polynomial inverse theorem for the U^d norm in degree d+1
Tomer Milo, Guy Moshkovitz
We prove a nearly polynomial inverse theorem for the Gowers norm, over finite fields of non-small characteristic, for polynomials of degree . The case of degree was…
math.CO2026
Schur complements for tensors and multilinear commutative rank
Guy Moshkovitz, Daniel G. Zhu
We show that three notions of rank for matrices of multilinear forms are equivalent. This result generalizes a classical result of Flanders, corrects a minor hole in work of Fortin…
math.CO2025
Slice rank and partition rank of the determinant
Amichai Lampert, Guy Moshkovitz
The Laplace expansion expresses the determinant as a sum of products. Do shorter expansions exist? In this paper we: - Fully determine the slice rank deco…