|
|||||
|
|
|
|
|
|
|
|
|
A quantitative
estimate for quasiintegral points in orbits
Liang-Chung Hsia and Joseph H. Silverman |
|
Vol. 249 (2011), No. 2, 321–342
|
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. |
Keywords
arithmetic dynamics, integral points
|
Mathematical Subject Classification 2010
Primary: 37P15
Secondary: 11B37, 11G99, 14G99
|
Milestones
Received: 22 October 2009
Accepted: 8 December 2009
Published: 1 February 2011
|
Authors |
| Liang-Chung Hsia | |
| Department of Mathematics National Central University Chung-Li 32054 Taiwan |
|
| Joseph H. Silverman | |
| Department of Mathematics, Box
1917 Brown University 151 Thayer Street Providence, RI 02912 United States |
|
| http://www.math.brown.edu/~jhs | |
|
