Minoru Yabuta

activity

20102020

most citedPrimitive Divisors of Certain Elliptic Divisibility Sequences

8 citations · 15 across the 4 of their papers we have counts for

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math.NT2020★ 2 cited

The greatest common valuation of $ϕ_{n}$ and $ψ_{n}^{2}$ at points on elliptic curves

Paul Voutier, Minoru Yabuta

Given a minimal model of an elliptic curve, $E / K$ , over a finite extension, $K$ , of $Q_{p}$ for any rational prime, $p$ , and any point $P \in E (K)$ of infinite order, we…

math.NT2013

Lang's conjecture and sharp height estimates for the elliptic curves $y^{2} = x^{3} + b$

Paul Voutier, Minoru Yabuta

For $E_{b} : y^{2} = x^{3} + b$ , we establish Lang's conjecture on a lower bound for the canonical height of non-torsion points along with upper and lower bounds for the difference betw…

math.NT2011★ 5 cited

Lang's Conjecture and Sharp Height Estimates for the elliptic curves $y^{2} = x^{3} + a x$

Paul Voutier, Minoru Yabuta

For elliptic curves given by the equation $E_{a} : y^{2} = x^{3} + a x$ , we establish the best-possible version of Lang's conjecture on the lower bound of the canonical height of non-tor…

math.NT2010★ 8 cited

Primitive Divisors of Certain Elliptic Divisibility Sequences

Paul Voutier, Minoru Yabuta

Let $P$ be a non-torsion point on the elliptic curve $E_{a} : y^{2} = x^{3} + a x$ . We show that if $a$ is fourth-power-free and either $n > 2$ is even or $n > 1$ is odd with $x (P) < 0$ or $x(…

The greatest common valuation of ϕn​ and ψn2​ at points on elliptic curves

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

Lang's Conjecture and Sharp Height Estimates for the elliptic curves y2=x3+ax

Primitive Divisors of Certain Elliptic Divisibility Sequences

The greatest common valuation of $ϕ_{n}$ and $ψ_{n}^{2}$ at points on elliptic curves

Lang's conjecture and sharp height estimates for the elliptic curves $y^{2} = x^{3} + b$

Lang's Conjecture and Sharp Height Estimates for the elliptic curves $y^{2} = x^{3} + a x$