| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
|
|---|
| Outline of Final Research Achievements |
Zeta functions and L-functions are important research subjects in number theory. To elucidate their important analytic properties such as the distribution of zeros, we tried to relate them to specific function spaces and the properties of operators on them. In preparation for building such relations, we studied the solution of spectral inverse problems for systems of ordinary differential equations called canonical systems. As a result, we establish a new theory that relates the distributions of zeros of zeta functions to the Hamiltonian of canonical systems.
|
