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On the arithmetic Kakeya conjecture of Katz and Tao

The arithmetic Kakeya conjecture, formulated by Katz and Tao (Math Res Lett 6(5–6):625–630, 1999), is a statement about addition of finite sets. It is known to imply a form of the Kakeya conjecture, namely that the upper Minkowski dimension of a Besicovitch set in [Formula: see text] is n. In this n...

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Detalles Bibliográficos
Autores principales: Green, Ben, Ruzsa, Imre Z.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6528801/
https://www.ncbi.nlm.nih.gov/pubmed/31178607
http://dx.doi.org/10.1007/s10998-018-0270-z