Integer points on elliptic curves

• Autores: Wen-Chen Chi, King Fai Lai, Ki-Seng Tan
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 222, Nº 2, 2005, págs. 237-252
• Idioma: inglés
• DOI: 10.2140/pjm.2005.222.237
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• Resumen

  • 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.