Integral points on elliptic curves over function fields

W. C. Chi; K. F. Lai; K. S. Tan

doi:10.1017/s1446788700013586

Integral points on elliptic curves over function fields

W. C. Chi^*
, K. F. Lai
, K. S. 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

1 引文斯高帕斯（Scopus）

摘要

We prove a new formula for the number of integral points on an elliptic curve over a function field without assuming that the coefficient field is algebraically closed. This is an improvement on the standard results of Hindry-Silverman.

原文	英語
頁（從 - 到）	197-208
頁數	12
期刊	Journal of the Australian Mathematical Society
卷	77
發行號	2
DOIs	https://doi.org/10.1017/s1446788700013586
出版狀態	已發佈 - 2004 10月

ASJC Scopus subject areas

一般數學

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10.1017/s1446788700013586

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Link to publication in Scopus

引用此

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title = "Integral points on elliptic curves over function fields",

abstract = "We prove a new formula for the number of integral points on an elliptic curve over a function field without assuming that the coefficient field is algebraically closed. This is an improvement on the standard results of Hindry-Silverman.",

author = "Chi, \{W. C.\} and Lai, \{K. F.\} and Tan, \{K. S.\}",

note = "Funding Information: W.-C. Chi was supported in part by the National Science Council of NSC91-2115-M-003-006. K.-S. Tan was supported in part by the National Council of Taiwan, NSC90-2115-M-002-014.",

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N2 - We prove a new formula for the number of integral points on an elliptic curve over a function field without assuming that the coefficient field is algebraically closed. This is an improvement on the standard results of Hindry-Silverman.

AB - We prove a new formula for the number of integral points on an elliptic curve over a function field without assuming that the coefficient field is algebraically closed. This is an improvement on the standard results of Hindry-Silverman.

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Integral points on elliptic curves over function fields

摘要

ASJC Scopus subject areas

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其它文件與鏈接

指紋

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