A quantitative estimate for quasiintegral points in orbits

Liang Chung Hsia, Joseph H. Silverman

研究成果: 雜誌貢獻文章

6 引文 斯高帕斯(Scopus)

摘要

Let φ(z) ∈ K (z) be a rational function of degree d ≥2 defined over a number field whose second iterate φ2(z) is not a polynomial, and let α ∈ K. The second author previously proved that the forward orbit Oφ(α) contains only finitely many quasi-S-integral points. We give an explicit upper bound for the number of such points.

原文英語
頁(從 - 到)321-342
頁數22
期刊Pacific Journal of Mathematics
249
發行號2
DOIs
出版狀態已發佈 - 2011 二月 15

ASJC Scopus subject areas

  • Mathematics(all)

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