Ross Paterson

collaborators

3 papers

math.NT2024

Quadratic Twists as Random Variables

Ross Paterson

Let $D \neq = 1$ be a fixed squarefree integer. For elliptic curves $E / Q$ , writing $E_{D}$ for the quadratic twist by $D$ , we consider the question of how often $E (Q)$ …

math.NT2024

2-Selmer Groups over Multiquadratic Extensions

Ross Paterson

Let K be a multiquadratic number field. We investigate the average dimension of 2-Selmer groups over K for the family of all elliptic curves over the rational numbers (ordered by h…

math.NT2023

Conductors of twisted Weil--Deligne representations

Matthew Bisatt, Ross Paterson

We study the behaviour of conductors of L-functions associated to certain Weil--Deligne representations under twisting. For each global field K we prove a sharp upper bound for the…