PreprintarXiv licencearXiv
Another proof of the U4(Fpn)-inverse theorem
Abstract
We give a new and shorter proof of a quantitative inverse theorem for the Gowers U4-norm in the setting of high-dimensional vector spaces over finite fields.
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BibTeX
@misc{peluse2026another,
title = {{Another proof of the $U^4(\mathbfF_p^n)$-inverse theorem}},
author = {Sarah Peluse},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.15788},
eprint = {2609.15788},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.15788},
}
RIS
TY - UNPB
TI - Another proof of the U^4(F_p^n)-inverse theorem
AU - Sarah Peluse
PY - 2026
DA - 2026/09/27
PB - arXiv
DO - 10.48550/arxiv.2609.15788
UR - https://arxiv.org/abs/2609.15788
AB - 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.
ER -