4 papers
Murmurations, Mestre--Nagao sums, and Convolutional Neural Networks for elliptic curves
Joanna Bieri, Edgar Costa, Alyson Deines +5
We apply one-dimensional convolutional neural networks to the Frobenius traces of elliptic curves over and evaluate and interpret their predictive capacity. In keeping…
Machine learning the vanishing order of rational L-functions
Joanna Bieri, Giorgi Butbaia, Edgar Costa +6
In this paper, we study the vanishing order of rational -functions from a data scientific perspective. Each -function is represented in our data by finitely many Dirichlet co…
Learning Euler Factors of Elliptic Curves
Angelica Babei, François Charton, Edgar Costa +5
We apply transformer models and feedforward neural networks to predict Frobenius traces from elliptic curves given other traces . We train further models to predict $a_p…
Learning Fricke signs from Maass form Coefficients
Joanna Bieri, Giorgi Butbaia, Edgar Costa +6
In this paper, we conduct a data-scientific investigation of Maass forms. We find that averaging the Fourier coefficients of Maass forms with the same Fricke sign reveals patterns…