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.

https://tu-darmstadt.zoom.us/j/68048280736

The password is the first Fourier coefficient of the modular j-function (as digits).