10 citations · 14 across the 10 of their papers we have counts for
4 papers · 1 filter
Murmurations of quadratic and cubic characters over function fields
Matilde Lalín, Kyu-Hwan Lee, Thomas Oliver +1
We compute the murmuration density for the family of quadratic characters over function fields. We show that the expectation of this density coincides with a correction term arisin…
Decision trees, Frobenius traces, and Weierstrass coefficients of elliptic curves
Barinder S. Banwait, Xiaoyu Huang, Kyu-Hwan Lee +3
We investigate the extent to which the coefficients of the reduced minimal Weierstrass model of an elliptic curve are determined by the Diric…
On (not) learning the Möbius function
Alexey Pozdnyakov
We prove lower bounds on learning the Möbius or Liouville function with a variety of standard learning techniques, including kernel methods, noisy gradient methods, and correlation…
Murmurations: a case study in AI-assisted mathematics
Yang-Hui He, Kyu-Hwan Lee, Thomas Oliver +1
We report the emergence of a striking new phenomenon in arithmetic, which we call murmurations. First observed experimentally through averages over large arithmetic datasets, murmu…