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arXiv · 2107.12286

Incidences of Möbius transformations in $\mathbb F_p$

Audie Warren·James Wheeler
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Abstract

We develop the methods used by Rudnev and Wheeler to prove an incidence theorem between arbitrary sets of Möbius transformations and point sets in $\mathbb F_p^2$. We also note some asymmetric incidence results, and give applications of these results to various problems in additive combinatorics and discrete geometry.

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Audie Warren, James Wheeler. 2021-07-26. Incidences of Möbius transformations in $\mathbb F_p$. https://doi.org/10.1007/s00454-022-00442-4

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