陳其誠2006-07-262018-06-282006-07-262018-06-282004-07-31http://ntur.lib.ntu.edu.tw//handle/246246/20961We 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-Silverman from quadratic to linear by using the method of S-unit equation of Evertse and a formula on 2-division points.application/pdf182561 bytesapplication/pdfzh-TW國立臺灣大學數學系暨研究所reporthttp://ntur.lib.ntu.edu.tw/bitstream/246246/20961/1/912115M002001.pdf