2017 Fiscal Year Final Research Report
On p-adic aspects of automorphic forms and their applications
| Project/Area Number |
26800016
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Hiroshima University |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Keywords | 保型形式 / p進保型形式 / L函数 / p進L函数 |
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| Outline of Final Research Achievements |
For certain automorphic forms on reductive algebraic groups and associated L-functions, in particular, the so-called Siegel Eisenstein series, Duke-Imamoglu-Ikeda lift and standard L-functions for the symplectic and unitary groups, the p-adic aspects of them have been studied from various viewpoints arising out of the theories of classical and p-adic automorphic forms. More precisely, by constructing p-adic analytic families of the above-mentioned automorphic forms and the Lambda-adic forms, we study the p-adic standard L-functions for the symplectic and unitary groups.
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| Free Research Field |
整数論
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