| dc.contributor.author | Zagier, Don | |
| dc.contributor.author | Lewis, John B | |
| dc.date.accessioned | 2018-12-20T18:26:12Z | |
| dc.date.available | 2018-12-20T18:26:12Z | |
| dc.date.issued | 2018-11 | |
| dc.date.submitted | 2018-05 | |
| dc.identifier.issn | 2522-0144 | |
| dc.identifier.issn | 2197-9847 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/119799 | |
| dc.description.abstract | We show that an asymptotic property of the determinants of certain matrices whose entries are finite sums of cotangents with rational arguments is equivalent to the GRH for odd Dirichlet characters. This is then connected to the existence of certain quantum modular forms related to Maass Eisenstein series. | en_US |
| dc.publisher | Springer International Publishing | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s40687-018-0159-8 | en_US |
| dc.rights | Creative Commons Attribution | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | en_US |
| dc.source | Springer International Publishing | en_US |
| dc.title | Cotangent sums, quantum modular forms, and the generalized Riemann hypothesis | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Lewis, John, and Don Zagier. “Cotangent Sums, Quantum Modular Forms, and the Generalized Riemann Hypothesis.” Research in the Mathematical Sciences, vol. 6, no. 1, Mar. 2019. © 2018 The Authors | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.contributor.mitauthor | Lewis, John B | |
| dc.relation.journal | Research in the Mathematical Sciences | en_US |
| 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 | 2018-12-07T04:44:53Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | The Author(s) | |
| dspace.orderedauthors | Lewis, John; Zagier, Don | en_US |
| dspace.embargo.terms | N | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-3822-6131 | |
| mit.license | PUBLISHER_CC | en_US |
