## A Szemerédi-Trotter type theorem, sum-product estimates in finite quasifields, and related results

- Thang Pham, Michael Tait, Craig Timmons, Le Anh Vinh
- J. Comb. Theory, Ser. A
- 2017

There is a parallelism between growth in arithmetic combinatorics and growth in a geometric context. While, over R or C, 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… (More)

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