6 citations · 10 across the 9 of their papers we have counts for
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math.NT2021★ 2 cited
On the proportion of locally soluble superelliptic curves
Lea Beneish, Christopher Keyes
We investigate the proportion of superelliptic curves that have a point for every place of . We show that this proportion is positive and given by th…
math.NT2021★ 1 cited
Mertens' theorem for Chebotarev sets
Santiago Arango-Piñeros, Daniel Keliher, Christopher Keyes
We generalize Mertens' product theorem to Chebotarev sets of prime ideals in Galois extensions of number fields. Using work of Rosen, we extend an argument of Williams from cycloto…
math.NT2021
Fields generated by points on superelliptic curves
Lea Beneish, Christopher Keyes
We give an asymptotic lower bound on the number of field extensions generated by algebraic points on superelliptic curves over with fixed degree and discriminant b…