The difference between the ordinary height and the canonical height on elliptic curves |
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Authors: | Yukihiro Uchida |
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Affiliation: | Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan |
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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. |
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Keywords: | primary, 11G50, 11G05 secondary, 11G07, 14G05 |
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