| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
Automorphic forms mean Laplacian eigenfunctions on arithmetic quotients of Lie groups. There is a long history of studies for automorphic forms, and they play important roles in the number theory. In this study, we treated holomorphic Siegel modular form, which is a kind of important automorphic forms. We established a general and explicit dimension formula, by which one can know amounts of their existences. Furthermore, we studied the trace formula, which is necessary for studies of dimension formula and automorphic form, and we obtained some results for it.
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