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.
A Number Theory, Algebra and Geometry seminar | |
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Speaker(s) | Tom Oliver |
Date | 26 February 2025 |
Time | 14:30 to 15:30 |
Place | Harrison Building 106 |
Organizer | Christopher Lazda |
Event details
Location:
Harrison Building 106