2009 Fiscal Year Final Research Report
Multiple zeta functions associated with root systems and their applications
| Project/Area Number |
19740009
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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 | Nagoya University |
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Principal Investigator |
YASUSHI Komori Nagoya University, 多元数理科学研究科, 助教 (80343200)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 多重ゼータ / ルート系 / ワイル群 / 特殊値 / 母関数 |
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| Research Abstract |
In the quantum gauge theory, which is one of those describing nature, the partition functions are considered to be the most fundamental and important quantities. Witten found that certain limits of the partition functions are described in terms of the volumes of certain spaces. These can be regarded as special values of zeta functions. In this study, we derived general formulas which give these special values, and furthermore presented some solutions to related problems.
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