$\mathbb F_p$中Möbius变换的发生率
Incidences of Möbius transformations in $\mathbb F_p$
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。