Year: 2025
Type: article
Abstract: We establish the first case of the surprising correlation phenomenon observed in the recent works of He, Lee, Oliver, Pozdnyakov, and Sutherland between Fourier coefficients in families of modular forms and their root numbers. We give a complete description of the resulting correlation functions for holomorphic modular forms of any fixed weight $k$ k and examine the asymptotic properties of these functions.
Source: Inventiones mathematicae
Author: Nina Zubrilina
Institution: Massachusetts Institute of Technology
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4412467072