| Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Research Abstract |
We have studied a parametric deformation of the determinant and the quantumharmonic oscillator, which are equipped with nice invariance and symmetries. As for the parametric deformation of the determinant, we found certain family of symmetric polynomials by using such deformationsfor special parameters. As for the parametric deformation of the quantum harmonic oscillator, we showedthat the function which describes a certain special value of the associated spectral zeta function satisfiestransformation rules similar to those for modular forms.
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