| Masato WAKAYAMA | Last modified date：2013.5.30 |
Graduate School
Undergraduate School
Administration Post
Vice President
Other
Other
E-Mail
Homepage
[URL].
Academic Degree
Doctor of Science
Field of Specialization
Mathematics
Outline Activities
My research theme is applications of representation theory
of Lie groups and harmonic analysis on homogeneous spaces to
number theory and mathematical physics. Especially, I study
determinant expressions of zeta functions via Laplacians,
special values of zeta functions,
and the limit distribution of (generalized) primes.
I teach calculus and linear algebra for undergraduate, and
elements of representation theory together with its
application to number theory for graduate students.
of Lie groups and harmonic analysis on homogeneous spaces to
number theory and mathematical physics. Especially, I study
determinant expressions of zeta functions via Laplacians,
special values of zeta functions,
and the limit distribution of (generalized) primes.
I teach calculus and linear algebra for undergraduate, and
elements of representation theory together with its
application to number theory for graduate students.
Research
Research Interests
Membership in Academic Society
- Representation theory, Invariant theory
keyword : Lie group, Lie algebra, Symmetric space
1985.01. - Zeta functions and their applications
keyword : Zeta functions, Density distribution theorems, Trace formulas
1982.01.
Books
| 1. | Tan Eng Chye, BOURGUIGNON, Jean-Pierre, PATTERSON, Samuel, TAKAGI, Tsuyoshi, MICHALOWSKI, Stefan, OCHIAI, Hiroyuki, CAPASSO, Federico, TOKITA, Kei, SATO, Hisayoshi, VERBITSKIY, Evgeny, CIUCU, Mihai, WENG, Lin, SCHUURMANS, Martin, PARK, Jinsung, HOWE, Roger ITOH, Minoru, CONSANI, Caterina, KIMOTO, Kazufumi, HECKMAN, Gert, ZHU, Chengbo, IWASA, Yoh, PEVZNER, Misha, HARAN, Shai, KUROKAWA, Nobushige, DENINGER, Christopher,Casimir Force, Casimir Operators and the Riemann Hypothesis--Mathematics for Innovation in Industry and Science--,2010.09. |
Papers
| 1. | 若山 正人, Jacques Faraut,Invariant differential operators on the Heisenberg group and Meixner-Pollaczek polynomials,Advances in Pure and Applied Mathematics, to appear.  . |
| 2. | 若山 正人, Nobushige Kurokawa, Yoshinori Yamasaki,Milnor-Selberg zeta functions and zeta regularizations,J. Geometry and Physics,in press. . |
| 3. | Masato WAKAYAMA, Kazufumi Kimoto,Spectrum of non-commutative harmonics oscillators and residual modular forms,Noncommutative Geometry and Physics, World Scientific,2013.03. . |
| 4. | Kazufumi Kimoto, Sho Matsumoto, Masato Wakayama,Alpha-determinant cyclic modules and Jacobi polynomials,Transactions of the American Mathematical Society,361, 6447-6473,2009.07. . |
| 5. | Nobushige Kurokawa, Yoshinori Yamasaki, Masato Wakayama,Ruelle type $L$-functions versus determinants of Laplacians for torsion free abelian groups,International Journal of Mathematics,19(8), 957-979,2008.09. . |
| 6. | Kazufumi Kimoto, Masato Wakayama,Invariant theory for singular $\alpha$-determinants,Journal of Combinatorial Theory, Ser. A , 115, 1-31,2008.01. . |
| 7. | Yasufumi Hashimoto, Masato Wakayama,Splitting density for lifting about discrete groups,Tohoku Journal of Mathematics ,59, 527-545,2007.12. . |
| 8. | Kazufumi Kimoto, Masato Wakayama,Quantum $\alpha$-determinant cyclic modules of ${\cal U}_q(\frak{gl}_n)$ ,Journal of Algebra,313, 922-956 ,2007.07. . |
| 9. | Kazufumi Kimoto, Masato Wakayama,Elliptic curves arising from the spectral zeta functions for non-commutative harmonic oscillators and $\Gamma_0(4)$-modular forms,Proceedings of the conference on L-functions, World Scientific,201-218,2007.01. . |
| 10. | Sho Matsumoto, Masato Wakayama,Alpha-determinant cyclic modules of $\frak{gl}_n(\Bbb C)$,Journal of Lie Theory,16, pp393-405,2006.12. . |
| 11. | Kazufumi Kimoto, Masato Wakayama,Ap\'ery-like numbers arising from special values of spectral zeta functions for non-commutative harmonic oscillators,Kyushu Journal of Mathematics,60, pp383--404,2006.03. . |
| 12. | Takashi Ichinose, Masato Wakayama,Special values of the spectral zeta function of the non-commutative harmonic oscillator and confluent Heun equations,Kyushu Journal of Mathematics,Vol.59,No.1,59, pp39--100,2005.03. . |
| 13. | Takashi Ichinose, Masato Wakayama,Zeta functions for the spectrum of the non-commutative harmonic oscillators,Communications in Mathematical Physics,Vol.258,No.3,258, pp697--739,2005.10. . |
| 14. | Masao Ishikawa, Masato Wakayama,Applications of minor summation formulas III, Pl\"ucker relations, Lattice paths and pfaffinas,,Journal of Combinatorial Theory, Series A,113, pp113--155,2006.01. . |
| 15. | Nobushige Kurokawa, Masato Wakayama,Absolute tensor products,International Mathematics Research Notices,No.5,2004-5/249--250,2004.03. . |
| 16. | Kazufumi Kimoto, Masato Wakayama,Remarks on zeta regularized products,International Mathematics Research Notices,No.17,2004:17, pp855-875.,2004.05. . |
| 17. | Nobushige Kurokawa, Masato Wakayama,Certain families of elliptic functions defined by $q$-series,The Ramanujan Journal,Vol.10,No.1,10, pp23--41,2005.01. . |
| 18. | Nobushige Kurokawa, Masato Wakayama,Generalized zeta regularizations, quantum class number formulas, and Appell's $O$-functions,The Ramanujan Journal,Vol.10,No.3,10, pp291--304,2005.01. . |
| 19. | Nobushige Kurokawa, Masato Wakayama,Higher Selberg zeta functions,Communications in Mathematical Physics,Vol.247,No.2,247, pp447--466,2004.05. . |
Presentations
| 1. | April 22-26, 2013 "Analysis and Number Theory for Non-commutative Harmonic Oscillators" i) Spectral problem of non-commutative harmonic oscillators ii) The spectral zeta function of NcHO and modular forms iii) Residual modular forms and related cohomology groups Distinguished Lecture Series, Department of Mathematics, Indiana University, Bloomington. |
| 2. | Introduction to Mathematics for Industry. |
| 3. | Analysis and arithmetic of non-commutative harmonic oscillators. |
| 4. | Remarks on parity of eigenfunctions of NcHO via Heun DE. |
| 5. | Non commutative Harmonic Oscillators and Number Theory. |
| 6. | Hermitian symmetric spaces of tube type and multivariate Meixner-Pollaczek polynomials. |
| 7. | Ramanujan ’s Delta and zeta regularizations. |
- Australian Mathematical Society
- The Japan Society for Industrial and Applied Mathematics
Educational
Educational Activities
I teach calculus and linear algebra for junior undergraduate,
elements of representation theory and number theory for
senior undergraduate, and representation theory
with its application to number theory for graduate students.
Also, I have given lectures as intensive courses
at several universities.
elements of representation theory and number theory for
senior undergraduate, and representation theory
with its application to number theory for graduate students.
Also, I have given lectures as intensive courses
at several universities.
The fact that no permission it reprints contents of this data base is prohibitted.