| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
We studied a relationship between special values of automorphic L-functions and periods of automorphic forms. Under certain assumptions, we proved an explicit formula of Whittaker periods for even unitary group, which is a conjecture by Lapid and Mao. Using a certain local identity which played an important role in the proof of this explicit formula, we proved formal degree conjecture in this case.
Further, in a joint work with Masaaki Furusawa (Osaka City University), we proved an explicit formula relating special Bessel periods and central values of automorphic L-functions associated to Siegel modular forms.
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