Root Number Correlation Bias of Fourier Coefficients of Modular Forms
Speaker:
Nina Zubrilina
Date and Time:
Monday, June 10, 2024 - 3:30pm to 4:15pm
Abstract:
In a recent 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 in families of holo- morphic and Maass forms.