| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
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: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
In this research, we treat the mean value theorems for several types of number-theoretic error terms. These methods in this research are mainly intended to apply the classical theory of the mean value theorem to error terms defined as new types. Specifically, (1) We first make new types of arithmetical functions, and consider the asymptotic formula of the sums of this kind of functions. (2) We consider the mean value formula of the function E(x), which is the error terms in the asymptotic formula in (1). (3) We consider the explicit formula and the analytic properties of the improper integral containing classical error terms, or E(x) defined in (1).
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