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

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	197-208
Number of pages	12
Journal	Journal of the Australian Mathematical Society
Volume	77
Issue number	2
DOIs	https://doi.org/10.1017/s1446788700013586
Publication status	Published - 2004 Oct

ASJC Scopus subject areas

General Mathematics

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Cite this

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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.",

year = "2004",

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N1 - 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.

PY - 2004/10

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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

Abstract

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