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Integer points on
elliptic curves
Wen-Chen Chi, King Fai Lai and Ki-Seng Tan |
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Vol. 222 (2005), No. 2, 237–252
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Abstract |
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We study Lang’s conjecture on the number of S-integer points on an elliptic curve over a number field. We improve the exponent of the bound of Gross and Silverman from quadratic to linear by using the S-unit equation method of Evertse and a formula on 2-division points. |
Keywords
elliptic curves, S-integers,
integer points, S-unit
equations, 2-division points,
Lang’s conjecture
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Mathematical Subject Classification 2000
Primary: 11D45
Secondary: 11G05, 14K12
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Milestones
Received: 19 April 2004
Accepted: 10 August 2004
Published: 1 December 2005
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Authors |
| Wen-Chen Chi | |
| Department of Mathematics National Taiwan Normal University Taipei Taiwan |
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| King Fai Lai | |
| School of Mathematics and
Statistics University of Sydney Sydney, NSW 2006 Australia |
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| Ki-Seng Tan | |
| Department of Mathematics National Taiwan University Taipei Taiwan |
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