Will Sawin

collaborators

2 papers

math.NT2026

Toroidal families and averages of $L$ -functions, II: cubic moments

Ãtienne Fouvry, Emmanuel Kowalski, Philippe Michel +1

Generalizing our previous work on ``toroidal averages'', we study the average of special values of $L$ -functions of the form $L (1/2, I ¨ ^{a}) L (1/2, I ¨ ^{b}) L (1/2, I ¨ ^{c})$ for integers $a$ , $…

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 $p$ th coefficients of the $L$ -functions of elliptic curves of particular ranks in a gi…

Toroidal families and averages of L-functions, II: cubic moments

Murmurations for elliptic curves ordered by height

Toroidal families and averages of $L$ -functions, II: cubic moments