A quantitative estimate for quasiintegral points in orbits

Liang Chung Hsia; Joseph H. Silverman

doi:10.2140/pjm.2011.249.321

A quantitative estimate for quasiintegral points in orbits

Liang Chung Hsia^*
, Joseph H. Silverman

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

14 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 O_φ(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
卷	249
發行號	2
DOIs	https://doi.org/10.2140/pjm.2011.249.321
出版狀態	已發佈 - 2011
對外發佈	是

ASJC Scopus subject areas

一般數學

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10.2140/pjm.2011.249.321

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title = "A quantitative estimate for quasiintegral points in orbits",

abstract = "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.",

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AB - 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.

KW - Arithmetic dynamics

KW - Integral points

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UR - https://www.scopus.com/pages/publications/79851497656#tab=citedBy

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A quantitative estimate for quasiintegral points in orbits

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