2011 Fiscal Year Final Research Report
On the special values of the product of L-functions and the periods of automorphic forms defined over function fields
| Project/Area Number |
21654002
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | The University of Tokyo |
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Principal Investigator |
KONDO Satoshi 東京大学, 数物連携宇宙研究機構, 特任助教 (30372577)
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| Co-Investigator(Kenkyū-buntansha) |
YASUDA Seidai 京都大学, 数理解析研究所, 助教 (90346065)
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| Project Period (FY) |
2009 – 2011
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| Keywords | ドリンフェルト加群 / 保型関数 / 関数体 / L関数の特殊値 |
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| Research Abstract |
We verified that when an automorphic form over a function field is integrated over the maximal torus at a fixed prime, the value may be expressed in terms of special values of L-functions, when the function field is that of a projective line over a finite field. We were not able to verify this over the function field of a more general curve.
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