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Machine Learning Class Numbers of Real Quadratic Fields
We implement and interpret various supervised learning experiments involving real quadratic fields with class numbers 1, 2 and 3.
Murmurations of elliptic curves
We investigate the average value of the $p$th Dirichlet coefficients of elliptic curves for a prime p in a fixed conductor range with given rank.
Machine-Learning Arithmetic Curves
We show that standard machine-learning algorithms may be trained to predict certain invariants of low genus arithmetic curves.
Machine-Learning Number Fields
We show that standard machine-learning algorithms may be trained to predict certain invariants of algebraic number fields to high accuracy.
Machine-Learning the Sato--Tate Conjecture
Throughout, our observations are verified using known results from the literature and the data available in the LMFDB.
