| dc.contributor.author | Zubrilina, Nina | |
| dc.date.accessioned | 2025-08-04T17:40:01Z | |
| dc.date.available | 2025-08-04T17:40:01Z | |
| dc.date.issued | 2025-07-16 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/162189 | |
| dc.description.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. | en_US |
| dc.publisher | Springer Berlin Heidelberg | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s00222-025-01347-8 | en_US |
| dc.rights | Creative Commons Attribution | en_US |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
| dc.source | Springer Berlin Heidelberg | en_US |
| dc.title | Murmurations | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Zubrilina, N. Murmurations. Invent. math. (2025). | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | Inventiones mathematicae | en_US |
| dc.identifier.mitlicense | PUBLISHER_CC | |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2025-07-18T15:30:11Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | The Author(s) | |
| dspace.embargo.terms | N | |
| dspace.date.submission | 2025-07-18T15:30:11Z | |
| mit.license | PUBLISHER_CC | |
| mit.metadata.status | Authority Work and Publication Information Needed | en_US |
