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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…
math.CO2024
Slice rank and analytic rank for trilinear forms
Amichai Lampert
In this note, we present an elementary proof of the fact that the slice rank of a trilinear form over a finite field is bounded above by a linear expression in the analytic rank. T…
math.CO2019★ 5 cited
Bias implies low rank for quartic polynomials
Amichai Lampert
We investigate the structure of polynomials of degree four in many variables over a fixed prime field . In 2007, Green and Tao proved that if a polynomia…