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arXiv:2202.11344 [math.NT]AbstractReferencesReviewsResources

The Kakeya conjecture on local fields of positive characteristic

Alejo Salvatore

Published 2022-02-23Version 1

We state and prove an analogue of the Kakeya conjecture for the local field $\mathbb{F}_q(\!(t)\!)$. This extends Arsovski's result on the Kakeya conjecture to local fields of positive characteristic.

Comments: 6 pages, no figures
Categories: math.NT, math.CA
Subjects: 11S05, 11S31, 28A78
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