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Research Activities

  • Specialized field:Number theory, Analytic number theory
  • Research subject:
    • Mean value theorems for number-theoretic error terms
    • Lattice points problem
    • Multiple zeta-functions, multiple zeta-values
    • Analysis of Dirichlet series
  • Research results(Papers - major 5 papers)

    (1) (with M. Minamide and Y. Tanigawa) On a new circle problem, J. Aust. Math. Soc., 103, No. 2, 231--249 (2017).

    (2) (with M. Minamide and Y. Tanigawa) On a restricted divisor problem, J. Indian Math. Soc., 83, No 3--4, 269--287 (2016).

    (3) (with X. Cao, Y. Tanigawa and W. Zhai) On the mean of the shifted error term in the theory of the Dirichlet divisor problem, Rocky Mt. J. Math. 46, No. 1, 105-124 (2016).

    (4) (with M. Minamide and Y. Tanigawa) Representations and evaluations of the error term in a certain divisor problem, Math. Slovaca, 66, No. 3, (2016), 575-582 (2016).

    (5) (with X. Cao, Y. Tanigawa and W. Zhai) On the differences between two kinds of mean value formulas of number-theoretic error terms, Int. J. Number Theory 10, 1143-1170 (2014).

  • Research results(Talks in Conference - major 5 talks)

    (1)(with Y. Tanigawa and M. Minamide)On representations for error terms related to the derivatives for some Dirichlet series, Autumn Meeting of the mathematical society of Japan (Algebra), Yamagata University, September, 2017.

    (2) (with Y. Tanigawa and M. Minamide)On the functional equations forζ(s)ζ"(s), ζ'(s)ζ"(s), Annual Meeting of The Mathematical Society of Japan (Algebra), Tokyo Metropolitan University, March 2017.

    (3) (with M. Minamide and Y. Tanigawa)On a sum of the Mobius function with some conditions, Regular meeting for Tyuugoku-Shikoku Shibu of The Mathematical Society of Japan, Ehime University, January, 2017.

    (4) (with Y. Tanigawa and M. Minamide)On the approximate functional equation for ζ'(s)2 , Autumn Meeting of the Mathematical society of Japan (Algebra), Kansai University, September, 2016.

    (5) (with Y. Tanigawa and M. Minamide)On a restricted divisor problem, Annual Meeting of The Mathematical Society of Japan (Algebra), Tsukuba University, March, 2016.