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Lang's conjecture and sharp height estimates for the elliptic curves y² = x³ + b

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Voutier P., Yabuta M.

Acta Arithmetica

2016

tom 173

nr 3

197-224

For $E_{b}: y² = x³ + b$, we establish Lang's conjecture on a lower bound for the canonical height of nontorsion points along with upper and lower bounds for the difference between the canonical and logarithmic heights. These results are either best possible or within a small constant of the best possible lower bounds.

Primitive divisors of certain elliptic divisibility sequences

100%

Voutier P., Yabuta M.

Acta Arithmetica

2012

tom 151

nr 2

165-190

Ograniczanie wyników

2 Acta Arithmetica

2 Voutier P.

2 Yabuta M.

1 2016

1 2012

Wyniki wyszukiwania

Lang's conjecture and sharp height estimates for the elliptic curves y² = x³ + b

Primitive divisors of certain elliptic divisibility sequences