179 citations · 759 across the 49 of their papers we have counts for
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math.NT2013★ 3 cited
The Generalised Fermat Equation x^2 + y^3 = z^15
Samir Siksek, Michael Stoll
We determine the set of primitive integral solutions to the generalised Fermat equation x^2 + y^3 = z^15. As expected, the only solutions are the trivial ones with xyz = 0 and the…
math.NT2013
Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell-Weil rank
Michael Stoll
We show that there is a bound depending only on g and [K:Q] for the number of K-rational points on a hyperelliptic curve C of genus g over a number field K such that the Mordell-We…
math.NT2013★ 28 cited
Most odd degree hyperelliptic curves have only one rational point
Bjorn Poonen, Michael Stoll
Consider the smooth projective models C of curves y^2=f(x) with f(x) in Z[x] monic and separable of degree 2g+1. We prove that for g >= 3, a positive fraction of these have only on…