| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
We study the analytic properties of Dirichlet series and its related topics, which are considered as one of the most important problem in number theory.In particular, we derive (1) approximate functional equations of the product of derivatives of the Riemann zeta-functions (2) representation formulas of number-theoretic error terms related to the summation formula of the arithmetical function whose generating function is related to derivatives of some Dirichlet series, and non-trivial estimates of these error terms (3) truncated Voronoi formulas and mean value theorems for several number-theoretic error terms.
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