Skip to Content

Search: {{$root.lsaSearchQuery.q}}, Page {{$}}

GLNT: Root Number Correlation Bias of Fourier Coefficients of Modular Forms

Nina Zubrilina (Princeton)
Monday, November 27, 2023
4:15-5:30 PM
3088 East Hall Map
In a recent machine learning based study, He, Lee, Oliver, and Pozdnyakov observed a striking oscillating pattern in the average value of the P-th Frobenius trace of elliptic curves of prescribed rank and conductor in an interval range. Sutherland discovered that this bias extends to Dirichlet coefficients of a much broader class of arithmetic L-functions when split by root number.
In my talk, I will discuss this root number correlation bias when the average is taken over all weight k modular newforms. I will point to a source of this phenomenon in this case and compute the correlation function exactly.
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Group, Lie and Number Theory Seminar - Department of Mathematics, Department of Mathematics