Kyushu University Academic Staff Educational and Research Activities Database
Researcher information (To researchers) Need Help? How to update
Shingo Saito Last modified date:2024.01.23



Graduate School
Undergraduate School


E-Mail *Since the e-mail address is not displayed in Internet Explorer, please use another web browser:Google Chrome, safari.
Homepage
https://kyushu-u.elsevierpure.com/en/persons/shingo-saito
 Reseacher Profiling Tool Kyushu University Pure
http://www.artsci.kyushu-u.ac.jp/~ssaito/
Academic Degree
PhD in Mathematics (University of London, UK)
Country of degree conferring institution (Overseas)
Yes Doctor
Field of Specialization
Mathematics
Outline Activities
- Research
My research interests range from classical real analysis and multiple zeta values in pure mathematics to actuarial science in applied mathematics.
Classical real analysis deals with problems closely related to counterexamples occasionally given in a first course in real analysis. For example, it is rather easy to construct a function that is continuous on the irrationals and discontinuous on the rationals, whereas there does not exist a function that is continuous on the rationals and discontinuous on the irrationals. I mainly use intricate epsilon-delta arguments to address problems in this area, but sometimes need some knowledge of descriptive set theory, which studies the complexity of sets and functions.
Multiple zeta values are a multivariate generalization of Riemann zeta values and have appeared in many different areas including knot theory and mathematical physics. I employ analytic and combinatorial methods to study the relations that exist in large numbers among the values.
I also work on various practical problems in general insurance in collaboration with an insurance company, applying probabilistic and statistical techniques to suitably constructed mathematical models.

- Teaching
Being a member of the Faculty of Arts and Science, I am involved in a number of courses aimed mainly at first-year undergraduate students.
I also teach actuarial science to postgraduate students at the Graduate School of Mathematics.
Research
Research Interests
  • classical real analysis
    keyword : typical functions
    2004.09.
  • multiple zeta values
    keyword : multiple zeta values
    2009.01.
  • actuarial science
    keyword : non-life insurance mathematics
    2008.04.
Academic Activities
Papers
1. Minoru Hirose, Hideki Murahara, and Shingo Saito, Ohno relation for regularized multiple zeta values, Journal of the Mathematical Society of Japan, 10.2969/jmsj/89088908, 75, 4, 1177-1193, 2023.10, [URL].
2. Minoru Hirose, Hideki Murahara, and Shingo Saito, Generating functions for Ohno type sums of finite and symmetric multiple zeta-star values, Asian Journal of Mathematics, 10.4310/AJM.2021.v25.n6.a4, 25, 6, 871-882, 2022.10, [URL].
3. Minoru Hirose, Hideki Murahara, and Shingo Saito, Generating functions for sums of polynomial multiple zeta values, Tohoku Mathematical Journal, 10.2748/tmj.20210409, 74, 3, 399-428, 2022.09, [URL].
4. Minoru Hirose, Hideki Murahara, and Shingo Saito, Polynomial generalization of the regularization theorem for multiple zeta values, Publications of the Research Institute for Mathematical Science, 10.4171/PRIMS/56-1-9, 56, 1, 207-215, 2020.01, [URL].
5. Hideki Murahara and Shingo Saito, Restricted sum formula for finite and symmetric multiple zeta values, Pacific Journal of Mathematics, 10.2140/pjm.2019.303.325, 303, 1, 325-335, 2019.12, [URL].
6. Minoru Hirose, Hideki Murahara, and Shingo Saito, Weighted sum formula for multiple harmonic sums modulo primes, Proceedings of the American Mathematical Society, 10.1090/proc/14588, 147, 8, 3357-3366, 2019.08, [URL].
7. Shingo Saito, Noriko Wakabayashi, Bowman-Bradley type theorem for finite multiple zeta values, Tohoku Mathematical Journal, 10.2748/tmj/1466172771, 68, 2, 241-251, 2016.06, [URL].
8. Shingo Saito, Noriko Wakabayashi, Sum formula for finite multiple zeta values, Journal of the Mathematical Society of Japan, 10.2969/jmsj/06731069, 67, 3, 1069-1076, 2015.07, [URL].
9. David Preiss, Shingo Saito, Knot points of typical continuous functions, Transactions of the American Mathematical Society, 10.1090/S0002-9947-2013-06100-4, 366, 2, 833-856, 2014.02, [URL].
10. Hiroki Kondo, Shingo Saito, Tatsushi Tanaka, The Bowman-Bradley theorem for multiple zeta-star values, Journal of Number Theory, 10.1016/j.jnt.2012.03.012, 132, 9, 1984-2002, [URL].
Membership in Academic Society
  • Mathematical Society of Japan
  • Institute of Actuaries of Japan
  • Japanese Association of Risk, Insurance and Pensions