关于Zagier对Mandelbrot集的观察的一点注记
A remark on Zagier's observation of the Mandelbrot set
摘要：
研究了Multibrot集外的规范化共形映射系数的算术性质。本文给出了这些系数的分母的素因子的一个估计。比勒费尔德，费舍尔和Haeseler提出了扎吉尔的观察增长分母的系数的Mandelbrot集和山下验证了它在他的硕士论文。我们的研究考虑了Zagier的观察和Yamashita的估计。
英文摘要：
We investigate the arithmetic properties of the coefficients for the normalized conformal mapping of the exterior of the Multibrot set. In this paper, an estimate of the prime factor of the denominator of these coefficients is given. Bielefeld, Fisher and Haeseler presented Zagier's observation for the growth of denominator of the coefficients for the Mandelbrot set and Yamashita verified it in his master thesis. Our study takes into consideration both Zagier's observation and Yamashita's estimate.
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。
