| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
The theory of automorphic forms, which is my reserach object, has been playing a crucial role in the number theroy as the achievements of the Langlands program indicate. The aim of this research is to deepen researches on automorphic forms in terms of their explicit construction. I have obtained two results: One is to provide explicit construction of automorphic forms which are counterexamples of the Ramanujan conjecture, and another one is a result on the non-vanishing of the central values of some automorphic L-functions in terms of special values of certain hypergeometric functions, whose origin does not come from the number theory.
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