Kyushu University Academic Staff Educational and Research Activities Database
Researcher information (To researchers) Need Help? How to update
Masanobu KANEKO Last modified date:2018.06.16



Graduate School
Undergraduate School


Homepage
http://www2.math.kyushu-u.ac.jp/~mkaneko/
Masanobu Kaneko .
Academic Degree
Doctor of Science
Country of degree conferring institution (Overseas)
No
Field of Specialization
Number Theory
Total Priod of education and research career in the foreign country
02years06months
Outline Activities
My research field is number theory. My recent subjects of study are multiple zeta values and related functions, finite multiple zeta values, and the behavior at real quadratics of the elliptic modular function.

I am supervising master and doctoral students based on these studies.

I am a member of the committee of algebra section of the mathematical society of Japan.

I am the editor-in-chief of the Kyushu Journal of Mathematics, and an editor of three other international mathematical journals.
Research
Research Interests
  • modular form, quasimodular form, elliptic modular function
    keyword : modular form, elliptic modular function
    1990.09Modular and quasimodular forms.
  • multiple zeta values, poly-Bernoulli numbers
    keyword : multiple zeta value, poly-Bernoulli number
    1995.07Study of multiple zeta values. Use regularizations, derivations in an algebraic setting, etc..
Academic Activities
Papers
1. M. Kaneko, F. Sakurai, and H. Tsumura, On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application, Journal de Theorie des Nombres de Bordeaux, 30, 1, 203-218, 2018.05.
2. M. Kaneko, K. Nagatomo, and Y. Sakai, The third order modular linear differential equations, Journal of Algebra, 485, 1, 332-352, 2017.02.
3. Masanobu KANEKO, Mika SAKATA, On multiple zeta values of extremal height, Bull. Aust. Math. Soc., 93, 186-193, 2016.02.
4. Masanobu KANEKO, Kohtaro IMATOMI, Erika TAKEDA, Multi-Poly-Bernoulli Numbers and Finite Multiple Zeta Values, Journal of Integer Sequences, 17, 14.4.5, 2014.02.
5. Masanobu KANEKO, Koji TASAKA, Double zeta values, double Eisenstein series, and modular forms of level 2, Math. Ann., 367, 1091-1118, 2013.04.
6. Masanobu KANEKO, Kiyokazu NAGATOMO, Yuichi SAKAI, Modular forms and second order differential equations — applications to vertex operator algebras, Letters in Mathematical Physics, 103, 4, 439-453, 2013.04.
7. Masanobu KANEKO, Yuichi SAKAI, The Ramanujan-Serre differential operators and certain elliptic curves, Proc. Amer. Math. Soc., 141, 3421-3429, 2013.01.
8. Masanobu Kaneko and Yasuo Ohno, On a kind of duality of multiple zeta-star values, Int. J. of Number Theory, 6, 8, 1927--1932, 2010.12.
9. Masanobu Kaneko, Observations on the ‘Values’ of the elliptic modular function j (τ ) at real quadratics, Kyushu Journal of Mathematics, vol. 63-2, 353–364, 2009.07.
10. M. Kaneko and M. Koike, On extremal quasimodular forms, Kyushu J. Math., vol. 60-2, 457--470, 2006.09.
11. H. Gangl , M. Kaneko and D. Zagier, Double zeta values and modular forms, Proceedings of the conference in memory of Tsuneo Arakawa, 71--106, 2006.07.
12. K. Ihara, M. Kaneko and D. Zagier, Derivation and double shuffle relations for multiple zeta values, Compositio Math., vol. 142-02, 307--338, 2006.04.
13. Masanobu Kaneko, Masao Koike, On modular forms arising from a differential
equation of hypergeometric type, The Ramanujan J., 10.1023/A:1026291027692, 7, 1-3, 145-164, vol. 7, 145--164., 2003.09.
14. Masanobu Kaneko, Nobushige Kurokawa, Masato Wakayama, A variation of Euler's approach to values of the Riemann zeta function, Kyushu J. Math., vol. 57-1, 175--192, 2003.03.
15. Masanobu Kaneko, The Akiyama-Tanigawa algorithm for Bernoulli numbers, Electronic J. of Integer Sequences, vol. 3, article 00.2.9,, 2000.02.
16. Masanobu Kaneko, Traces of singular moduli and the Fourier
coefficients of the elliptic modular function $j(\tau)$, CRM Proceedings and Lecture Notes, vol. 19, 173--176., 1999.04.
17. Masanobu Kaneko, On the zeros of certain modular forms, Number Theory and its Applications, 2, 193-197, 193--197., 1999.04.
18. Tsuneo Arakawa, Masanobu Kaneko, Multiple zeta values, poly-Bernoulli numbers, and related zeta functions, Nagoya Math. J., 153, 189-209, vol. 153, 189--209., 1999.03.
19. Masanobu Kaneko, Don Zagier, Supersingular j-invariants, hypergeometric series, and Atkin's
orthogonal polynomials, AMS/IP Studies in Advanced Mathematics, vol. 7, 97--126., 1998.04.
20. M. Kaneko, Poly-Bernoulli numbers, J. de Theorie des Nombres de Bordeaux, 9, 199-206, 1997.04.
21. T. Asai, M. Kaneko, H. Ninomiya, Zeros of certain modular functions and an application, Comment. Math. Univ. St. Pauli, 46, 1, 93-101, 1997.04.
22. M. Kaneko, The Fourier coefficients and the singular moduli of the elliptic modular function j(tau), Mem. of Fac. Eng. and Design, Kyoto Institute of Technology, 44, 1-5, 1996.03.
23. M. Kaneko, D. Zagier, A generalized Jacobi theta function and quasimodular forms , Progress in Math., 129, 165-172, 1995.06.
24. M. Kaneko, A Recurrence Formula for the Bernoulli Numbers, Proc. of Japan Acad., 71A, 8, 192-193, 1995.06.
25. M. Kaneko, T. Odagaki, Selfsimilarity in a class of quadratic-quasiperiodic chains , J. of Phys. Soc. of Japan, 62, 4, 1147-1152, 1993.06.
26. M. Kaneko, A generalization of the Chowla-Selberg formula and the zeta functions of quadratic orders, Proc. of Japan Acad., 66A, 7, 201-203, 1990.06.
27. M. Kaneko, Supersingular j-invariants as singular moduli mod p, Osaka J. of Math., 26, 849-855, 1989.06.
28. Y. Ihara, M. Kaneko, A. Yukinari, On some properties of the universal power series for Jacobi sums, Advanced Studies in Pure Math., 12, 65-86, 1987.06.
Awards
  • Research on quasimodular forms and multiple zeta values
Educational
Educational Activities
I am supervising several master and doctoral students. The goal is to make them write up their own research papers as master or doctoral theses.
Sometimes I give lectures at other universities in number theory at various levels.
Social
Professional and Outreach Activities
Voluntary lectures at several high schools in Fukuoka, Saga, and Nagasaki..