17 citations · 28 across the 18 of their papers we have counts for
Showing 2015Show all
2 papers · 1 filter
math.NT2015★ 2 cited
Selmer Ranks of twists of hyperelliptic curves and superelliptic curves
Myungjun Yu
We study the variation of Selmer ranks of Jacobians of twists of hyperelliptic curves and superelliptic curves. We find sufficient conditions for such curves to have infinitely man…
math.NT2015
On 2-Selmer ranks of quadratic twists of elliptic curves
Myungjun Yu
We study the -Selmer ranks of elliptic curves. We prove that for an arbitrary elliptic curve over an arbitrary number field , if the set of 2-Selmer ranks of quadra…