KEIO RESEARCHERS INFORMATION SYSTEM

Career 【 Display / hide 】

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 】

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 】

Academic Degrees 【 Display / hide 】

• 理学, Keio University, 1994.10

Research Areas 【 Display / hide 】

Research Areas 【 Display / hide 】

• Natural Science / Algebra (analytic number theory)

Books 【 Display / hide 】

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

• Number Theory and Related Topics

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

  Scope: pp. 199-229

• 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

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Papers 【 Display / hide 】

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

• 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

• Arithmetical properties of the values of functions satisfying certain functional equations of Poincare

  M.Amou, KATSURADA MASANORI, K.Vaananen

  Acta Arithmetica 99 ( 4 ) 389-407 2001

  Research paper (scientific journal), Joint Work, Accepted

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

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

• Study of analytic and asymptotic aspects of Dirichlet-Lerch type $L$-functions

  Katsurada, Masanori

  学事振興資金研究成果実績報告書 (慶應義塾大学)  2021

• Asymptotic aspects of the weighted and multiple mean values of zeta-functions

  Katsurada, masanori

  学事振興資金研究成果実績報告書 (慶應義塾大学)  2017

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

  Katsurada, Masanori

  科学研究費補助金研究成果報告書 2016

• Investigation of the behaviours of zeta and theta functions from a viewpoint of the theory of multiple hypergeometric functions

  Katsurada, Masanori

  科学研究費補助金研究成果報告書 2013

• Behaviours of non-holomorphic Eisenstein series and the theory of q-hypergeometric functions

  Katsurada, Masanori

  科学研究費補助金研究成果報告書 2009

Presentations 【 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 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

• 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

• 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 】

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, 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, 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 】

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 】

Courses Taught 【 Display / hide 】

• MATHEMATICS FOR ECONOMICS 2

  2024

• MATHEMATICS FOR ECONOMICS 1

  2024

• MATHEMATICS FOR ECONOMICS

  2024

• LINEAR ALGEBRA

  2024

• ADVANCED LINEAR ALGEBRA

  2024

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