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Mordell's equation in characteristic three

Published online by Cambridge University Press:  17 April 2009

J.F. Voloch
J.F. Voloch
Affiliation:
IMPA, Estrada D. Castorina 110, Rio de Janeiro 22460, Brasil
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Abstract

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Let K be a function field in one variable over a finite field of characteristic three. If a ∈ K is not a cube, we show that the equation y2 = x3 + a has only finitely many solutions x, y ∈ K.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 41 , Issue 1 , February 1990 , pp. 149 - 150
Copyright
Copyright © Australian Mathematical Society 1990

References

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