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NTAG Seminar: Murmurations of Dirichlet characters

Murmurations are unexpected statistical correlations between the coefficients of L-functions and their root numbers. Murmurations were first discovered in attempts to interpret the accuracy of various machine learning experiments in number theory. Dirichlet characters are an interesting context as they allow one to state and prove concrete theorems with easily understandable tools. In this talk, I will show how the "murmuration density" allows one to capture the signal in a noisy arithmetic picture, and how this density interpolates the one-level density of their zeros.


Event details

Location:

Harrison Building 106