2014
DOI: 10.1016/j.jnt.2013.08.004
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The average number of torsion points on elliptic curves

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“…It is known that the limit M (ρ n ) exists and it is equal to the number of orbits of [3]). In general, M (ρ n ) ≥ n + 1 since each π i V n is stable under the Galois action and so U n,i for each 0 ≤ i ≤ n − 1 is stable.…”
Section: Introductionmentioning
confidence: 99%
“…It is known that the limit M (ρ n ) exists and it is equal to the number of orbits of [3]). In general, M (ρ n ) ≥ n + 1 since each π i V n is stable under the Galois action and so U n,i for each 0 ≤ i ≤ n − 1 is stable.…”
Section: Introductionmentioning
confidence: 99%