Integer points on elliptic curves

Wen Chen Chi; King Fai Lai; K. I.Seng Tan

doi:10.2140/pjm.2005.222.237

Integer points on elliptic curves

Wen Chen Chi^*
, King Fai Lai
, K. I.Seng Tan

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

2 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	237-252
頁數	16
期刊	Pacific Journal of Mathematics
卷	222
發行號	2
DOIs	https://doi.org/10.2140/pjm.2005.222.237
出版狀態	已發佈 - 2005 12月

ASJC Scopus subject areas

一般數學

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10.2140/pjm.2005.222.237

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Link to publication in Scopus

引用此

@article{1865f9962c91497d9b29b85477d42af1,

title = "Integer points on elliptic curves",

abstract = "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 = "2-division points, Elliptic curves, Integer points, Lang's conjecture, S-integers, S-unit equations",

author = "Chi, \{Wen Chen\} and Lai, \{King Fai\} and Tan, \{K. I.Seng\}",

year = "2005",

month = dec,

doi = "10.2140/pjm.2005.222.237",

language = "English",

volume = "222",

pages = "237--252",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "Mathematical Sciences Publishers",

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TY - JOUR

T1 - Integer points on elliptic curves

AU - Chi, Wen Chen

AU - Lai, King Fai

AU - Tan, K. I.Seng

PY - 2005/12

Y1 - 2005/12

N2 - 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.

AB - 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.

KW - 2-division points

KW - Elliptic curves

KW - Integer points

KW - Lang's conjecture

KW - S-integers

KW - S-unit equations

UR - https://www.scopus.com/pages/publications/32344441141

UR - https://www.scopus.com/pages/publications/32344441141#tab=citedBy

U2 - 10.2140/pjm.2005.222.237

DO - 10.2140/pjm.2005.222.237

M3 - Article

AN - SCOPUS:32344441141

SN - 0030-8730

VL - 222

SP - 237

EP - 252

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

Integer points on elliptic curves

摘要

ASJC Scopus subject areas

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其它文件與鏈接

指紋

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