| Budget Amount *help |
¥6,370,000 (Direct Cost: ¥4,900,000、Indirect Cost: ¥1,470,000)
Fiscal Year 2020: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2019: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2018: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
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| Outline of Final Research Achievements |
For the class number of an imaginary quadratic field generated by the square root of negative of a prime, there is a beautiful formula expressing it in terms of the continued fraction expansion of the square root of that prime. We generalized this formula to the case of “remaining” half of the primes.
We also obtained some results on the algebraic independence and transcendence of the values of the theta function, a kind of modular form.
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