2009 Fiscal Year Final Research Report
Analytic Study for Pisot and Salem numbers
| Project/Area Number |
18540172
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Kyoto University |
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Principal Investigator |
HATA Masayoshi Kyoto University, 大学院・理学研究科, 准教授 (40156336)
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| Project Period (FY) |
2006 – 2009
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| Keywords | 数論 |
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| Research Abstract |
We successfully improved the earlier results on the lower bounds for the fractional part of e^n, where e is the base of natural logarithm and is known to be transcendental. This study was accomplished through that of Pisot and Salem numbers. Concerning the problem on Mahler measures (Lehmer problem) we can reduce it to an extremal problem of some non-linear functional.
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Research Products
(3 results)
