Article ID Journal Published Year Pages File Type
4595022 Journal of Number Theory 2008 17 Pages PDF
Abstract

We estimate the bounds for the difference between the ordinary height and the canonical height on elliptic curves over number fields. Our result is an improvement of the recent result of Cremona, Prickett, and Siksek [J.E. Cremona, M. Prickett, S. Siksek, Height difference bounds for elliptic curves over number fields, J. Number Theory 116 (2006) 42–68]. Our bounds are usually sharper than the other known bounds.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory