39 citations · 56 across the 3 of their papers we have counts for
3 papers
math.NT2008
Integral Points on Hyperelliptic Curves
Y. Bugeaud, M. Mignotte, S. Siksek +2
We give a completely explicit upper bound for integral points on (standard) affine models of hyperelliptic curves, provided we know at least one rational point and a Mordell-Weil b…
math.NT2006★ 17 cited
Explicit n-descent on elliptic curves, II. Geometry
John Cremona, Tom Fisher, Cathy O'Neil +2
This is the second in a series of papers in which we study the n-Selmer group of an elliptic curve. In this paper, we show how to realize elements of the n-Selmer group explicitly…
math.NT2006★ 39 cited
Explicit n-descent on elliptic curves, I. Algebra
John Cremona, Tom Fisher, Cathy O'Neil +2
This is the first in a series of papers in which we study the n-Selmer group of an elliptic curve, with the aim of representing its elements as genus one normal curves of degree n.…