B. Bekker

activity

20172026

most citedThe divisibility by 2 of rational points on elliptic curves

4 citations · 5 across the 3 of their papers we have counts for

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math.NT2026

Torsion points of small order on cyclic covers of $P^{1}$ . III

Boris M. Bekker, Yuri G. Zarhin

Let $d > 1$ be an integer and $K_{0}$ a perfect field such that $c ha r (K_{0})$ does not divide $d$ . Let $n > d$ be an integer that is prime to $d$ . Let $f (x) \in K_{0} [x]$ be a degree $n$ moni…

math.NT2017★ 4 cited

The divisibility by 2 of rational points on elliptic curves

Boris M. Bekker, Yuri G. Zarhin

We give a simple proof of the well-known divisibility by 2 condition for rational points on elliptic curves with rational 2-torsion. As an application of the explicit division by $…

Torsion points of small order on cyclic covers of P1. III

The divisibility by 2 of rational points on elliptic curves

Torsion points of small order on cyclic covers of $P^{1}$ . III