Katsurada, Masanori

写真a

Affiliation

Faculty of Economics (Hiyoshi)

Position

Professor

External Links

Career 【 Display / hide

  • 1997.06
    -
    1999.03

    鹿児島大学 ,助教授

  • 1999.04
    -
    2001.03

    大学助教授(経済学部)

  • 1999.10
    -
    2001.09

    大学学生総合センター委員(日吉支部)

  • 2001.04
    -
    Present

    大学教授(経済学部)

Academic Background 【 Display / hide

  • 1985.03

    Rikkyo University, Faculty of Science

    University, Graduated

  • 1987.03

    Keio University, Graduate School, Division of Science and Engineeri

    Graduate School, Completed, Master's course

Academic Degrees 【 Display / hide

  • 理学, Keio University, 1994.10

 

Research Areas 【 Display / hide

  • Algebra (analytic number theory)

 

Books 【 Display / hide

  • 文部科学省科学研究費補助金研究成果報告書 研究種目 基盤研究 (C)

    KATSURADA MASANORI, 2004.05

    Scope: 346

  • Analytic Number Theory: the joint Proceedings of the China-Japan Number Theory Conference

    M.Amou, KATURADA MASANORI, K.Vaananen, Dordrecht:Kluwer Acad. Publ., 2002

    Scope: 17-25

  • Number Theory: proceedings of the Turku Symposium on Number Theory in memory of Kustaa Inkeri, May 31-June 4,1999

    M.Amou, KATSURADA MASANORI, K.Vaananen, Berlin:de Gruyter, 2001

    Scope: 5-17

  • 文部省科学研究費補助金研究成果報告書:研究種目 基盤研究(C)

    KATSURADA MASANORI, 2000

  • Number Theory and Related Topics

    KATSURADA MASANORI, K.Mastumoto, Dordrecht:Kluwer Acad. Publ., 2000

    Scope: pp. 199-229

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Papers 【 Display / hide

  • Irrationality results for values of generalized Tschakaloff series II

    M.Amou, KATSURADA MASANORI.

    Journal of Number Theory 104 ( 1 ) 132-155 2004

    Research paper (scientific journal), Joint Work, Accepted

  • Asymptotic expansions for certain q-series and a formula of Ramanujan for specific values of the Riemann zeta-function

    KATSURADA MASANORI

    Acta Arithmetica 107 ( 3 ) 269-298 2003

    Research paper (scientific journal), Single Work, Accepted

  • Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions III

    KATSURADA MASANORI, K.Matsumoto

    Compositio Mathematica 131 ( 3 ) 239-266 2002

    Research paper (scientific journal), Joint Work, Accepted

  • Differential transcendence of a class of generalized Dirichlet series

    M.Amou, KATSURADA MASANORI

    Illinois Journal of Mathematics 45 ( 3 ) 939-948 2001

    Research paper (scientific journal), Joint Work, Accepted

  • On an asymptotic formula of Ramanujan for a certain theta-type series

    KATSURADA MASANORI

    Acta Arithmetica 97 ( 2 ) 157-172 2001

    Research paper (scientific journal), Single Work, Accepted

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Papers, etc., Registered in KOARA 【 Display / hide

Presentations 【 Display / hide

  • Complete asymptotic expansions associated with the Epstein zeta-function II

    KATSURADA MASANORI

    日本数学会2004年度年会 (つくば (筑波大学)) , 2004.03, Oral Presentation(general), 日本数学会

  • Complete asymptotic expansions associated with the Epstein zeta-functions

    KATSURADA MASANORI

    日本数学会2003年度秋季総合分科会 (千葉 (千葉大学)) , 2003.09, Oral Presentation(general), 日本数学会

  • Asymptotic expansions of a multiple mean square of Lerch zeta-functions

    KATSURADA MASANORI

    日本数学会2003年度年会 (東京 (東京大学)) , 2003.03, Oral Presentation(general), 日本数学会

  • Asymptotic expansions of certain q-series and Ramanujan's formula for ζ(2n+1)

    KATSURADA MASANORI

    日本数学会2003年度年会 (東京 (東京大学)) , 2003.03, Oral Presentation(general), 日本数学会

  • On an asymptotic formula of Ramanujan for a certain theta-type series

    KATSURADA MASANORI

    日本数学会2000年度年会 (東京 (早稲田大学)) , 2000.03, Oral Presentation(general), 日本数学会

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Research Projects of Competitive Funds, etc. 【 Display / hide

  • ゼータ関数・テータ関数の加重・多重平均化―定式化と挙動解明―

    2017.04
    -
    2020.03

    MEXT,JSPS, Grant-in-Aid for Scientific Research, 桂田 昌紀, Grant-in-Aid for Scientific Research (C), Principal Investigator

  • Multiple hypergeometric type generating functions for the values of Lerch zeta-functions--their formulation and analytic behaviour--

    2014.04
    -
    2017.03

    MEXT,JSPS, Grant-in-Aid for Scientific Research, 桂田 昌紀, Grant-in-Aid for Scientific Research (C), Principal Investigator

     View Summary

    As for the multiple hypergeometric type generating functions for the values of Lerch zeta-functions, the head investigator has succeeded in formulating the expected generating functions (of several complex variables) for the values of Lerch zeta-functions, in the form of Lauricella (type A) multiple hypergeometric series. The major achievements of the present research include complete asymptotic expansions for these multiple generating functions when the variables $(z_1,\ldots,z_n)$ tend to $0$ and to $\infty$, while suitable mutual order conditions on $z_j$'s are imposed, through an appropriate poly-sector. These asymptotic expansions further yield: 1) asymptotics for higher derivatives of the generating functions when the variable $s$ is at any integer point; 2) closed form evaluation of the generating functions when $s$ is at any non-positive integer point; 3) asymptotics for two variable analogues of the classical trigonometric sums treated in [Hardy-Littlewood (1936)].

Works 【 Display / hide

  • Complete asymptotic expansions associated with Epstein zeta-functions

    KATSURADA MASANORI

    京都, 

    2004.10
    -
    Present

    Other, Single

  • Asymptotic expansions of certain q-series and Ramanujan's formula for ζ(2n+1)

    KATSURADA MASANORI

    2004.05
    -
    Present

    Other, Single

  • On an asymptotic formula of Ramanujan for a certain theta-type series

    KATSURADA MASANORI

    名古屋, 

    2000.06
    -
    Present

    Other, Single

  • ゼータ関数の平均値定理とMellin-Barnes型積分

    KATSURADA MASANORI

    2000.06
    -
    Present

    Other, Single

  • On the values of certain q-hypergeometric series

    KATSURADA MASANORI, Amou,M.

    京都, 

    1999.11
    -
    Present

    Other, Joint

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Courses Taught 【 Display / hide

  • MATHEMATICS FOR ECONOMICS 2

    2019

  • MATHEMATICS FOR ECONOMICS 1

    2019

  • LINEAR ALGEBRA

    2019

  • ADVANCED LINEAR ALGEBRA

    2019