3 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…
cs.LG2025
Generative Modeling for Mathematical Discovery
Jordan S. Ellenberg, Cristofero S. Fraser-Taliente, Thomas R. Harvey +2
We present a new implementation of the LLM-driven genetic algorithm {\it funsearch}, whose aim is to generate examples of interest to mathematicians and which has already had some…
math.NT2025
Completely decomposable modular Jacobians
Jennifer Paulhus, Andrew V. Sutherland
We use recently developed algorithms and a new database of modular curves constructed for the L-functions and Modular Forms Database to enumerate completely decomposable modular Ja…