A QUANTITATIVE ESTIMATE FOR QUASIINTEGRAL POINTS IN ORBITS

被引:14
作者
Hsia, Liang-Chung [1 ]
Silverman, Joseph H. [2 ]
机构
[1] Natl Cent Univ, Dept Math, Chungli 32054, Taiwan
[2] Brown Univ, Dept Math, Providence, RI 02912 USA
基金
美国国家科学基金会;
关键词
arithmetic dynamics; integral points; INTEGER POINTS;
D O I
10.2140/pjm.2011.249.321
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let phi(z) is an element of K (z) be a rational function of degree d >= 2 defined over a number field whose second iterate phi(2)(z) is not a polynomial, and let alpha is an element of K. The second author previously proved that the forward orbit O-phi(alpha) contains only finitely many quasi-S-integral points. We give an explicit upper bound for the number of such points.
引用
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页码:321 / 342
页数:22
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