April 3, 2023
4:00 pm
-
5:00 pm
MW 154
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2023-04-03 16:00:00
2023-04-03 17:00:00
Root number correlation bias of Fourier coefficients of modular forms
Speaker: Nina Zubrilina
Title: Root number correlation bias of Fourier coefficients of modular forms
Abstract: In a recent paper, He, Lee, Oliver, and Pozdnyakov discovered a striking oscillating pattern in the average value of the P-th Dirichlet coefficients of elliptic curves for a prime P in a fixed conductor range with given rank. Later Sutherland performed computations that demonstrate that this bias extends to the P-th coefficients of modular newforms when correlated with the root number. I will prove this bias and compute the exact correlation function in the modular forms setting.
MW 154
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2023-04-03 16:00:00
2023-04-03 17:00:00
Root number correlation bias of Fourier coefficients of modular forms
Speaker: Nina Zubrilina
Title: Root number correlation bias of Fourier coefficients of modular forms
Abstract: In a recent paper, He, Lee, Oliver, and Pozdnyakov discovered a striking oscillating pattern in the average value of the P-th Dirichlet coefficients of elliptic curves for a prime P in a fixed conductor range with given rank. Later Sutherland performed computations that demonstrate that this bias extends to the P-th coefficients of modular newforms when correlated with the root number. I will prove this bias and compute the exact correlation function in the modular forms setting.
MW 154
America/New_York
public
Speaker: Nina Zubrilina
Title: Root number correlation bias of Fourier coefficients of modular forms
Abstract: In a recent paper, He, Lee, Oliver, and Pozdnyakov discovered a striking oscillating pattern in the average value of the P-th Dirichlet coefficients of elliptic curves for a prime P in a fixed conductor range with given rank. Later Sutherland performed computations that demonstrate that this bias extends to the P-th coefficients of modular newforms when correlated with the root number. I will prove this bias and compute the exact correlation function in the modular forms setting.
