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A Sum–Product Theorem in Function Fields

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Publication:2929548
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DOI10.1093/imrn/rnt125zbMath1314.11072arXiv1211.5493OpenAlexW2040184971MaRDI QIDQ2929548

Thomas F. Bloom, Timothy G. F. Jones

Publication date: 12 November 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5493


zbMATH Keywords

sumsetlocal fieldproduct set


Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Additive bases, including sumsets (11B13)


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SUM-PRODUCT ESTIMATES FOR DIAGONAL MATRICES ⋮ On the number of incidences between points and planes in three dimensions ⋮ Finite field models in arithmetic combinatorics -- ten years on ⋮ New sum-product type estimates over finite fields




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