Studies on quantum integrable systems and multiple zeta functions
| Project/Area Number |
25400026
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Rikkyo University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
MATSUMOTO Kohji 名古屋大学, 多元数理科学研究科, 教授 (60192754)
TSUMURA Hirofumi 首都大学東京, 理工学研究科, 教授 (20310419)
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 量子可積分系 / 多重ゼータ関数 / ルート系 / 楕円超幾何関数 |
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| Outline of Final Research Achievements |
Both partition functions in quantum gauge theories and zeta-functions in mathematics, which play fundamental and important roles in each area, happen to coincide in some cases. Among them are the Witten zeta-functions. These zeta-functions are the main objects and should be studied from various viewpoints. For this problem, we proposed lattice sums associated with hyperplane arrangements and established a unified way to treat these values and functional relations among Witten zeta-functions via their generating functions. We also studied some properties of related zeta-functions and hypergeometric functions, and obtained new functional relations and formulas.
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Report
(5 results)
Research Products
(16 results)
