Some consequences of Masser's counting theorem on elliptic curves
2017
Abstract
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.
Details
Title
Some consequences of Masser's counting theorem on elliptic curves
Author(s)
Galateau, Aurelien ; Mahe, Valery
Published in
Mathematische Zeitschrift
Pagination
17
Volume
285
Issue
1-2
Pages
613-629
Date
2017
Publisher
Heidelberg, Springer Heidelberg
ISSN
0025-5874
Other identifier(s)
View record in Web of Science
Laboratories
CSAG
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > SB Archives > CSAG - Chair of Algebraic and Geometric Structures
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2017-02-17