Some consequences of Masser's counting theorem on elliptic curves

Galateau, AurelienMahe, Valery2017-02-172017-02-172017-02-17201710.1007/s00209-016-1728-4https://infoscience.epfl.ch/handle/20.500.14299/134506WOS:000392318200026We 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.Some consequences of Masser's counting theorem on elliptic curvestext::journal::journal article::research article