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arXiv 2107.12286math.CO
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$\mathbb F_p$中Möbius变换的发生率

Incidences of Möbius transformations in $\mathbb F_p$

Audie Warren, James Wheeler

摘要:

我们发展了Rudnev和Wheeler用来证明任意莫比乌斯变换集和$\mathbb F_p^2$中的点集之间的关联定理的方法。我们还注意到一些非对称关联的结果,并给出这些结果的应用到各种问题的加法组合和离散几何。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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