2 papers
math.NT2025
Murmurations for elliptic curves ordered by height
Will Sawin, Andrew V. Sutherland
He, Lee, Oliver, and Pozdnyakov~\cite{HLOP} have empirically observed that the average of the th coefficients of the -functions of elliptic curves of particular ranks in a gi…
math.NT2024
A refined random matrix model for function field L-functions
Will Sawin
We propose a refinement of the random matrix model for a certain family of -functions over , using techniques that we hope will eventually apply to an arbitrary…