Hamamatsu University School of Medicine · Mathematics

Research keywordsLattice points problem・Mean value theorem・Voronoi公式・Omega-estimate・オメガ評価・多重ゼータ値・多重級数・平均値定理

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• Mean values of the error term with shifted arguments in the circle problem
• On the mean of the shifted error term in the theory of the Dirichlet divisor problem
• Analytic properties of Dirichlet series obtained from the error term in the Dirichlet divisor problem
• Explicit representations of the integral containing the error term in the divisor problem

• ゼータ関数の解析的挙動の研究と，その数論的誤差項への応用
• 数論的問題から生じる誤差項の解析的研究
• 数論的誤差項を含む種々の積分・Dirichlet級数の解析的性質の考察
• 数論的誤差項を含む種々の積分・Dirichlet級数の解析的性質の考察

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