179 citations · 759 across the 49 of their papers we have counts for
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math.NT2011★ 24 cited
Explicit n-descent on elliptic curves. III. Algorithms
John Cremona, Tom Fisher, Cathy O'Neil +2
This is the third 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 curves of degree n in P^{n-1}. The m…
math.NT2011★ 11 cited
Partial Descent on Hyperelliptic Curves and the Generalized Fermat Equation x^3+y^4+z^5=0
Samir Siksek, Michael Stoll
Let C : y^2=f(x) be a hyperelliptic curve defined over the rationals. Let K be a number field and suppose f factors over K as a product of irreducible polynomials f=f_1 f_2...f_r.…