| Toshiki Matsusaka | Last modified date：2023.08.01 |
Assistant Professor /
Division of Algebra and Geometry /
Faculty of Mathematics
Papers
| 1. | Toshiki Matsusaka, A Hyperbolic Analogue of the Rademacher Symbol, Mathematische Annalen, 2023.03. |
| 2. | Toshiki Matsusaka, Hikami's observations on unified WRT invariants and false theta functions, "Low Dimensional Topology and Number Theory" Springer Proceedings in Mathematics & Statistics, accepted, 2023.04. |
| 3. | Toshiki Matsusaka, Jun Ueki, Modular knots, automorphic forms, and the Rademacher symbols for triangle groups, Research in the Mathematical Sciences, 2022.12. |
| 4. | Minoru Hirose, Toshiki Matsusaka, Ryutaro Sekigawa, Hyuga Yoshizaki, Bijective enumerations for symmetrized poly-Bernoulli polynomials, The Electronic Journal of Combinatorics, 29, 3, 1-18, 2022.08, [URL]. |
| 5. | Beáta Bényi, Toshiki Matsusaka, Remarkable relations between the central binomial series, Eulerian polynomials, and poly-Bernoulli numbers , Kyushu Journal of Mathematics, 2022.12. |
| 6. | Beáta Bényi, Toshiki Matsusaka, Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers, Journal de Théorie des Nombres de Bordeaux, 2022.12. |
| 7. | Kohji Matsumoto, Toshiki Matsusaka, Ilija Tanackov, On the behavior of multiple zeta-functions with identical arguments on the real line, Journal of Number Theory, 239, 151-182, 2022.01. |
| 8. | Toshiki Matsusaka, Ramanujan’s mock theta functions and mock modular forms, RIMS Kokyuroku Bessatsu, Algebraic Number Theory and Related Topics 2020, accepted, 2021.07. |
| 9. | Toshiki Matsusaka, Kota Saito, Linear Diophantine equations in Piatetski-Shapiro sequences, Acta Arithmetica, 200, 1, 91-110, 2021.05. |
| 10. | Beáta Bényi, Toshiki Matsusaka, On the combinatorics of symmetrized poly-Bernoulli numbers, The Electronic Journal of Combinatorics, 2021.03. |
| 11. | 松坂 俊輝, Polyharmonic weak Maass forms of higher depth for SL_2(Z), Ramanujan Journal, 51, 1, 19-42, 2020.01. |
| 12. | 松坂 俊輝, Fourier coefficients of polyharmonic weak Maass forms, 九州大学 博士論文, 2019.02. |
| 13. | 松坂 俊輝, Traces of CM values and cycle integrals of polyharmonic Maass forms, Res. Number Theory, 5, 1, 1-25, 2019.01. |
| 14. | Toshiki Matsusaka, Real zeros of the Hurwitz zeta function, Acta Arithmetica, 10.4064/aa8647-11-2017, 183, 1, 53-62, 2018.02. |
| 15. | Toshiki Matsusaka, Ryotaro Osanai, ARITHMETIC FORMULAS FOR THE FOURIER COEFFICIENTS OF HAUPTMODULN OF LEVEL 2, 3, AND 5, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 10.1090/proc/13333, 145, 4, 1383-1392, 2017.04, We give arithmetic formulas for the coefficients of Hauptmoduln of higher level as analogues of Kaneko's formula for the j-invariant. We also obtain their asymptotic formulas by employing Murty-Sampath's method.. |
| 16. | 松坂 俊輝, The Fourier coefficients of the McKay-Thompson series and the traces of CM values, Res. Number Theory, 3, 1-16, 2017.12. |
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