轨道中拟整点的一个定量估计
A quantitative estimate for quasi-integral points in orbits
摘要:
设f(z)是数域K中系数至少为2次的有理函数,并假定f(z)的第二阶f ^2(z)不是多项式.第二作者证明了对K中的任意b,前向轨道O_f(b)只包含n个拟S-整点。本文给出了这类点个数的一个明确的上界。
英文摘要:
Let f(z) be a rational function of degree at least 2 with coefficients in a number field K, and assume that the second iterate f^2(z) of f(z) is not a polynomial. The second author previously proved that for any b in K, the forward orbit O_f(b) contains only finitely many quasi-S-integral points. In this note we give an explicit upper bound for the number of such points.
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。