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J-GLOBAL ID：200901001996511086   Update date: Mar. 07, 2024

Furuya Jun

フルヤ ジュン | Furuya Jun
Affiliation and department：
Hamamatsu University School of Medicine Department of Integrated Human Sciences(Mathematics)

About Hamamatsu University School of Medicine Department of Integrated Human Sciences(Mathematics)


Research field  (2)： Basic analysis ,  Algebra
Research keywords  (16)： Number-theoretic function ,  Number-theoretic error term ,  Voronoi formulas ,  The Gauss circle problem ,  Sum of Chowla and Walum ,  Multilpe zeta values ,  Multiple series ,  The Dirichlet divisor problem ,  Dirichlet 級数 ,  格子点問題 ,  Omega estimate ,  平均値定理 ,  Dirichlet series ,  Lattice points problem ,  Omega-estimate ,  Mean value theorem
Research theme for competitive and other funds  (9)：
  • 2021 - 数論的誤差項を含む種々の広義積分の解析的性質の考察
  • 2017 - 2021 種々の数論的対象から生ずる誤差項の平均値定理
  • 2014 - 2017 ディリクレ級数の種々の性質とその関連分野の研究
  • 2012 - 2015 On analytic behaviour of zeta-function and its applications to the arithmetical error term
  • 2009 - 2014 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
Show all
Papers (27)：
  • Jun Furuya, Makoto Minamide T, Miyu Nakano. A note on the mean square of the greatest divisor of n which is coprime to a fixed integer k. Indian Journal of Pure & Applied Mathematics. 2021. 52. 4. 990-1003
  • Jun Furuya, T. Makoto Minamide, Yoshio Tanigawa. Titchmarsh's method for the approximate functional equations for ζ’(s)2, ζ(s)ζ''(s) and ζ'(s)ζ''(s). Canadian Journal of Mathematics. 2019. 71. 6. 1465-1493
  • Jun Furuya, Makoto Minamide, Yoshio Tanigawa. On a new circle problem. Journal of the Australian Mathematical Society. 2017. 103. 2. 231-249
  • Jun Furuya, T. Makoto Minamide, Yoshio Tanigawa. On representations of error terms related to the derivatives for some Dirichlet series. Illinois Journal of Mathematics. 2017. 61. 1-2. 187-209
  • Jun Furuya, Makoto Minamide, Yoshio Tanigawa. On a restricted divisor problem. The Journal of the Indian Mathematical Society. 2016. 83. 3-4. 269-287
ｍore...
Lectures and oral presentations  (1)：
  • Mean square of error terms related to exponential sums involving some arithmetical functions
    (The III International Conference, Analytic and Probabilistic Number Theory in Palanga 2001)
Education (4)：
  • 2001 - 2003 Nagoya University
  • 1996 - 2001 Nagoya University
  • 1994 - 1996 Nagoya University
  • 1990 - 1994 Nagoya University School of Science
Professional career (2)：
  • 博士(数理学) (名古屋大学)
  • 修士(理学) (名古屋大学)
Work history (5)：
  • 2014/04 - 現在 Hamamatsu University School of Medicine Faculty of Medicine
  • 2012/04 - 2014/03 Okinawa National College of Technology
  • 2005/04 - 2012/03 Okinawa National College of Technology
  • 2003/04 - 2005/03 日本学術振興会特別研究員(PD)
  • 1999/04 - 2003/03 Gifu National College of Technology
Association Membership(s) (1)：
日本数学会
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