Another proof of the $U^4(\mathbf{F}_p^n)$ -inverse theorem

Sarah Peluse

Source record

Source: arXiv

Published: Sep 14, 2026

arXiv: 2609.15788

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Source abstract

We give a new and shorter proof of a quantitative inverse theorem for the Gowers $U^4$ -norm in the setting of high-dimensional vector spaces over finite fields.

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Another proof of the $U^4(\mathbf{F}_p^n)$-inverse theorem — Mathematical Frontier Network