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arXiv 0910.4498math.NTmath.DS
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轨道中拟整点的一个定量估计

A quantitative estimate for quasi-integral points in orbits

Liang-Chung Hsia, Joseph H. Silverman

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。

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