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Integral points on elliptic curves over function fields

Published online by Cambridge University Press:  09 April 2009

W. -C. Chi
Affiliation:
Department of Mathematics, National Taiwan Normal University, Taipei, Taiwan e-mail: wchi@math.ntnu.edu.tw
K. F. Lai
Affiliation:
School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia e-mail: kflai@math.usyd.edu.au
K. -S. Tan
Affiliation:
Department of Mathematics, National Taiwan University, Taipei, Taiwan e-mail: tan@math.ntu.edu.tw
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2004

References

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