| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
In a joint work with Kazuki Morimoto of Kobe University, we proved one direction of the Gross-Prasad conjecture in the case of special Bessel periods for SO(2n+1). Namely we proved that the non-vanishing of the special Bessel period for SO(2n+1) implies the non-vanishing of the central value of the corresponding L-function. We also proved the converse in some cases.
In another joint work with Kazuki Morimoto, we proved the algebraicity of some critical values of the tensor product L-functions for SO(V) times GL(2) where V is anisotropic. Our result involves some unbalanced cases of the Rankin triple L-function for GL(2).
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