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Murmurations of holomorphic modular forms in the weight aspect
December 5 at 16:00 – 17:00 CET
International Seminar on Automorphic Forms
Min Lee (University of Bristol)
In April 2022, He, Lee, Oliver, and Pozdnyakov made an interesting discovery using machine learning – a surprising correlation between the root numbers of elliptic curves and the coefficients of their L-functions. They coined this correlation ‘murmurations of elliptic curves.’ Naturally, one might wonder whether we can identify a common thread of ‘murmurations’ in other families of L-functions. In this talk, I will introduce a joint work with Jonathan Bober, Andrew R. Booker and David Lowry-Duda, demonstrating murmurations in holomorphic modular forms.
The password is the first Fourier coefficient of the modular j-function (as digits).