A QUANTITATIVE ESTIMATE FOR QUASIINTEGRAL POINTS IN ORBITS

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51182

Title:	A QUANTITATIVE ESTIMATE FOR QUASIINTEGRAL POINTS IN ORBITS
Authors:	Hsia,LC;Silverman,JH
Contributors:	數學系
Keywords:	ELLIPTIC-CURVES;INTEGER POINTS;DYNAMICS;THEOREM
Date:	2011
Issue Date:	2012-03-27 18:24:16 (UTC+8)
Publisher:	國立中央大學
Abstract:	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.
Relation:	PACIFIC JOURNAL OF MATHEMATICS
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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