On the Schmidt and analytic ranks for trilinear forms

Abstract

We discuss relations between different notions of ranks for multilinear forms. In particular we show that the Schmidt and the analytic ranks for trilinear forms are essentially proportional.

References in corpus (3)

• The Elementary Theory of the Frobenius Automorphisms
• Progression-free sets in Z_4^n are exponentially small
• Linear forms and higher-degree uniformity for functions on ${\mathbb{F}}_p^n$

Cited by in corpus (2)

• Relative Rank and Regularization
• Quantitative bounds for the $U^4$-inverse theorem over low characteristic finite fields