4 papers · 1 filter
Murmurations of quadratic and cubic characters over function fields
Matilde LalÃn, 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 reduced minimal Weierstrass coefficients of an elliptic curve over may be computed from it's Frobenius traces. Decision tree mod…
Murmurations of Dirichlet characters
Kyu-Hwan Lee, Thomas Oliver, Alexey Pozdnyakov
We calculate murmuration densities for two families of Dirichlet characters. The first family contains complex Dirichlet characters normalized by their Gauss sums. Integrating the…
Murmurations of elliptic curves
Yang-Hui He, Kyu-Hwan Lee, Thomas Oliver +1
We investigate the average value of the Frobenius trace at p over elliptic curves in a fixed conductor range with given rank. Plotting this average as p varies over the primes yiel…