Structural analysis of transcendental numbers through the values of Mahler functions
| Project/Area Number |
22740023
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Keio University |
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Principal Investigator |
TANAKA Takaaki 慶應義塾大学, 理工学部, 専任講師 (60306850)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | Mahler 関数 / 代数的独立性 / 整関数 / 無限積 / フィボナッチ数列 / 超越数 / Mahler関数 |
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| Research Abstract |
In this project the research representative constructed, using linear recurrences, entire functions defined by explicit infinite products such that their values as well as their all successive derivatives at algebraic points other than their zeroes are al
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Report
(4 results)
Research Products
(14 results)
