| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Research Abstract |
We study analytic properties of the multiple Dirichlet series from the various viewpoints. In particular, we obtain some value-relations and functional relations for them, and consider their applications to number theory. Concretely we study Witten's zeta-functions associated with the root systems and certain Eisenstein type series as a joint work with K. Matsumoto (Nagoya University) and Y. Komori (Rikkyo University). Our research is being completed as a fruitful theory. As for double zeta-functions, we obtain a new type of the mean value theorem. We greatly expect its application to number theory.
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