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research article
Some consequences of Masser's counting theorem on elliptic curves
Galateau, Aurelien
•
Mahe, Valery
We use Masser's counting theorem to prove a lower bound for the canonical height in powers of elliptic curves. We also prove the Galois case of the elliptic Lehmer problem, combining Kummer theory and Masser's result with bounds on the rank and torsion of some groups of rational points on an elliptic curve.
Type
research article
Web of Science ID
WOS:000392318200026
Authors
Galateau, Aurelien
•
Mahe, Valery
Publication date
2017
Publisher
Published in
Volume
285
Issue
1-2
Start page
613
End page
629
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
February 17, 2017
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