A study on analytic behavior of Euler products and Dirichlet series
| Project/Area Number |
25887003
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Otaru University of Commerce |
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Principal Investigator |
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| Project Period (FY) |
2013-08-30 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | オイラー積 / ディリクレ級数 / 素数 / 零点 / 約数関数 / リーマンゼータ関数 / ゼータ関数 / メビウス関数 |
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| Outline of Final Research Achievements |
We investigated relations among behavior of the Euler product/Dirichlet series, the prime numbers and the zeros of the Riemann zeta-function. We studied the behavior of the Euler product/Dirichlet series numerically. We also studied the maximal order of a certain divisor function, using the behavior of the Euler product.
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Report
(3 results)
Research Products
(4 results)
