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On the magnitude of integer points on elliptic curves

Published online by Cambridge University Press:  17 April 2009

Ákos Pintér
Ákos Pintér
Affiliation:
Kossuth Lajos University, Mathematical Institute, Debrecen, 4010-Hungary, e-mail: apinter@math.klte.hu
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Abstract

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The known effective bounds for the magnitude of integer points on elliptic curves are exponential in the “height” of curve. The bound given in this note is polynomial in the height and depends slightly on the discriminant.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 52 , Issue 2 , October 1995 , pp. 195 - 199
Copyright
Copyright © Australian Mathematical Society 1995

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