Workshop: Autocorrelation of Hurwitz Class Numbers, Alex Walker

Date: 2024-01-22

Time: 11:00 - 12:00

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Alex Walker, University College London


The asymptotic study of class numbers of binary quadratic forms is a foundational problem in arithmetic statistics. In this talk, we investigate finer statistics of class numbers by studying their self-correlations under additive shifts. This is made possible by developing the theory of shifted convolution Dirichlet series attached to mock modular forms.