Lehmer’s Conjecture Via Model Theory
| dc.contributor.author | Göral, Haydar | |
| dc.date.accessioned | 2022-08-24T06:51:12Z | |
| dc.date.available | 2022-08-24T06:51:12Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | In this short note, we study Lehmer's conjecture in terms of stability theory. We state Bounded Lehmer's conjecture, and we prove that if a certain formula is uniformly stable in a class of structures, then Bounded Lehmer's conjecture holds. Our proof is based on Van der Waerden's theorem from additive combinatorics | en_US |
| dc.identifier.doi | 10.3792/pjaa.98.010 | |
| dc.identifier.issn | 0386-2194 | |
| dc.identifier.issn | 0386-2194 | en_US |
| dc.identifier.scopus | 2-s2.0-85135539547 | |
| dc.identifier.uri | http://dx.doi.org/10.3792/pjaa.98.010 | |
| dc.identifier.uri | https://hdl.handle.net/11147/12399 | |
| dc.language.iso | en | en_US |
| dc.publisher | Japan Academy | en_US |
| dc.relation.ispartof | Proceedings of the Japan Academy Series A: Mathematical Sciences | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Lehmer's conjecture | en_US |
| dc.subject | Mahler measure | en_US |
| dc.subject | Model theory | en_US |
| dc.title | Lehmer’s Conjecture Via Model Theory | en_US |
| dc.type | Article | en_US |
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| gdc.author.id | 0000-0002-8814-6295 | |
| gdc.author.id | 0000-0002-8814-6295 | en_US |
| gdc.author.institutional | Göral, Haydar | |
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| gdc.contributor.affiliation | İzmir Institute of Technology | en_US |
| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 55 | en_US |
| gdc.description.issue | 7 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 52 | en_US |
| gdc.description.volume | 98 | en_US |
| gdc.description.wosquality | Q4 | |
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