Publication: Drinfelʼd–Ihara relations for p-adic multi-zeta values
| dc.contributor.department | Department of Mathematics | |
| dc.contributor.kuauthor | Ünver, Sinan | |
| dc.contributor.kuprofile | Faculty Member | |
| dc.contributor.other | Department of Mathematics | |
| dc.contributor.schoolcollegeinstitute | College of Sciences | |
| dc.contributor.yokid | 177871 | |
| dc.date.accessioned | 2024-11-09T23:34:09Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | We prove that the p-adic multi-zeta values satisfy the Drinfel'd-Ihara relations in Grothendieck-Teichmuller theory (Drinfel'd (1991) [10], Ihara (1991) [21]). This requires a detailed study of the crystalline theory of tangential basepoints in the higher dimensional case and Coleman integrals (Coleman (1982) [5]) as they relate to the frobenius invariant path of Vologodsky (2003) [31]. The main result (Theorem 1.8.1) is used in Furusho (2007) [14, pp. 1133-1135]. | |
| dc.description.indexedby | WoS | |
| dc.description.indexedby | Scopus | |
| dc.description.issue | 5 | |
| dc.description.openaccess | NO | |
| dc.description.publisherscope | International | |
| dc.description.sponsoredbyTubitakEu | TÜBİTAK | |
| dc.description.sponsorship | Tuba-Gebip The author thanks A. Ogus and S. Bloch for mathematical suggestions and encouragement. The author was supported by Tuba-Gebip. | |
| dc.description.volume | 133 | |
| dc.identifier.doi | 10.1016/j.jnt.2012.10.006 | |
| dc.identifier.eissn | 1096-1658 | |
| dc.identifier.issn | 0022-314X | |
| dc.identifier.quartile | Q3 | |
| dc.identifier.scopus | 2-s2.0-84871408578 | |
| dc.identifier.uri | http://dx.doi.org/10.1016/j.jnt.2012.10.006 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14288/12294 | |
| dc.identifier.wos | 314261300001 | |
| dc.keywords | P-Adic multi-zeta values | |
| dc.keywords | Drinfel'd-Ihara relations | |
| dc.keywords | Mixed tate motives | |
| dc.keywords | P-Adic integration | |
| dc.language | English | |
| dc.publisher | Elsevier | |
| dc.source | Journal of Number Theory | |
| dc.subject | Mathematics | |
| dc.title | Drinfelʼd–Ihara relations for p-adic multi-zeta values | |
| dc.type | Journal Article | |
| dspace.entity.type | Publication | |
| local.contributor.authorid | 0000-0001-5816-4882 | |
| local.contributor.kuauthor | Ünver, Sinan | |
| relation.isOrgUnitOfPublication | 2159b841-6c2d-4f54-b1d4-b6ba86edfdbe | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 2159b841-6c2d-4f54-b1d4-b6ba86edfdbe |