Murmurations
Name
222_2025_Article_1347.pdf
Size
1.82 MB
Format
Adobe PDF
Checksum (MD5)
761e608b2c0ca0acbd504837e8117ff0
Author(s)
Zubrilina, Nina
Date Issued
July 16, 2025
Journal
Inventiones mathematicae
Publisher
Springer Berlin Heidelberg
Citation
Zubrilina, N. Murmurations. Invent. math. (2025).
Version
Final published version
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 and examine the asymptotic properties of these functions.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00222-025-01347-8
