2011 Fiscal Year Final Research Report
L-functions attached to non-holomorphic Siegel modular forms-Local theory and its global applications
| Project/Area Number |
20740015
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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 | Osaka University |
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Principal Investigator |
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| Project Period (FY) |
2008 – 2011
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| Keywords | 保型的L関数 / Fourier展開 |
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| Research Abstract |
We study the archimedean local theory of Fourier expansion of non-holomorphic Siegel modular forms of degree 2 along the Siegel parabolic subgroup. We established the multiplicity free theorem for generalized Whittaker models(=Bessel models) of GSp(2, R) associated with indefinite binary quadratic forms when they arise from various standard representations. We also obtained an explicit integral expression of the corresponding generalized Whittaker functions on a one dimensional torus of GSp(2, R).
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