Alex Cowan

most citedGeneric models for genus 2 curves with real multiplication

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2024★ 1 cited

Generic models for genus 2 curves with real multiplication

Alex Cowan, Sam Frengley, Kimball Martin

Explicit models of families of genus 2 curves with multiplication by $D$ are known for $D = 2, 3, 5$ . We obtain generic models for genus 2 curves over $Q$ with real mu…

math.NT2023

A twisted additive divisor problem

Alex Cowan

We give asymptotics for shifted convolutions of the form $n < X \sum \frac{σ _{2 u} ( n , χ ) σ _{2 v} ( n + k , ψ )}{n ^{u + v}}$ for nonzero complex numbers $u, v$ and nontrivial Dirichlet charac…

stat.ME2023

Paired comparisons for games of chance

Alex Cowan

We present a Bayesian rating system based on the method of paired comparisons. Our system is a flexible generalization of the well-known Glicko, and in particular can better accomm…