| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
1. We study a kernel function of the twisted symmetric square L-function of elliptic modular forms, and compute several exact special values of the L-function. We also succeed to determine some special values of the convolution product of two Eisenstein series of half-integral weight. 2. We give a characterization of degree 2 Hermitian cusp forms by the growth of their Fourier coefficients. 3. We give an explicit form of genus character L-functions. As an application, we generalize the formula due to Hirzebruch-Zagier on the class number of imaginary quadratic fields in term of the continued fraction expansion. 4. We give analytic properties of the Koecher-Maass series of non-holomorphic Siegel-Eisenstein series. It turned out that the series has a relation with Weyl group multiple Dirichlet series. 5. Katok-Sarnak type result for the Eisenstein series on higher dimensional hyperbolic space is established.
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