Budget Amount *help |
¥17,420,000 (Direct Cost: ¥13,400,000、Indirect Cost: ¥4,020,000)
Fiscal Year 2021: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2020: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2019: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2018: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2017: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
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Outline of Final Research Achievements |
The Siegel series is an important invariant appearing in the Fourier coefficients of the Siegel-Eisenstein series. In this research, we study the Gross-Keating invariants of quadratic forms and their refinement, namely the extended Gross-Keating data, and give an explicit formula for the Siegel series. As applications, we also gave lifting of Hilbert-Siegel modular forms and evaluation of the Fourier coefficients of Eisenstein series. We also studied the Gross-Keating invariants for Hermite forms.
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