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https://hdl.handle.net/11147/12399| Title: | Lehmer’s conjecture via model theory | Authors: | Göral, Haydar | Keywords: | Lehmer's conjecture Mahler measure Model theory |
Publisher: | Japan Academy | 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 | URI: | http://dx.doi.org/10.3792/pjaa.98.010 https://hdl.handle.net/11147/12399 |
ISSN: | 0386-2194 |
| Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| pjaa.98.010.pdf | Article | 80.88 kB | Adobe PDF | View/Open |
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