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Gill, Nick; Helfgott, Harald A. and Rudnev, Misha
(2015).
DOI: https://doi.org/10.1090/proc/12309
Abstract
There is a parallelism between growth in arithmetic combinatorics and growth in a geometric context. While, over or
, geometric statements on growth often have geometric proofs, what little is known over finite fields rests on arithmetic proofs.
We discuss strategies for geometric proofs of growth over finite fields, and show that growth can be defined and proven in an abstract projective plane -- even one with weak axioms.
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- Item ORO ID
- 38079
- Item Type
- Journal Item
- ISSN
- 1088-6826
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2015 American Mathematical Society
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- Depositing User
- Nick Gill