Kyushu University Academic Staff Educational and Research Activities Database
List of Papers
Toshiki Matsusaka Last modified date:2023.08.01

Assistant Professor / Division of Algebra and Geometry / Faculty of Mathematics

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.