| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Research Abstract |
Combining properties of modular forms and Galois groups, I studied some applications for number theory. In particular, the main purpose is to extend some arithmetic results on the rational field to them on more general fields. To do this, I studied property of Hilbert modular forms as a tool and applied to the class number problem for CM quadratic extension.
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