1. |
Toshiki Matsusaka, A Hyperbolic Analogue of the Rademacher Symbol, Mathematische Annalen, 388, 2843-2886, 2024.03. |
2. |
Rinnosuke Matsuhira, Toshiki Matsusaka, Koki Tsuchida, How long can k-Göbel sequences remain integers?, The American Mathematical Monthly, 2024.03. |
3. |
Toshiki Matsusaka, Yuji Terashima, Modular transformations of homological blocks for Seifert fibered homology 3-spheres, Communications in Mathematical Physics, 405, 48, 2024.02. |
4. |
Toshiki Matsusaka, Genki Shibukawa, Curious congruences for cyclotomic polynomials II, Research in Number Theory, 10, 3, 2024.01. |
5. |
Yuqi Deng, Riku Kurimaru, Toshiki Matsusaka, Arithmetic Dijkgraaf-Witten invariants for real quadratic fields, quadratic residue graphs, and density formulas, Research in Number Theory, 2023.10. |
6. |
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. |
7. |
Beáta Bényi, Toshiki Matsusaka, Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers, Journal de Théorie des Nombres de Bordeaux, 2022.12. |
8. |
Beáta Bényi, Toshiki Matsusaka, Remarkable relations between the central binomial series, Eulerian polynomials, and poly-Bernoulli numbers , Kyushu Journal of Mathematics, 2022.12. |
9. |
Toshiki Matsusaka, Jun Ueki, Modular knots, automorphic forms, and the Rademacher symbols for triangle groups, Research in the Mathematical Sciences, 2022.12. |
10. |
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. |
11. |
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. |
12. |
Toshiki Matsusaka, Ramanujan’s mock theta functions and mock modular forms, RIMS Kokyuroku Bessatsu, Algebraic Number Theory and Related Topics 2020, accepted, 2021.07. |
13. |
Toshiki Matsusaka, Kota Saito, Linear Diophantine equations in Piatetski-Shapiro sequences, Acta Arithmetica, 10.4064/AA200927-15-2, 200, 1, 91-110, 2021.05. |
14. |
Beáta Bényi, Toshiki Matsusaka, On the combinatorics of symmetrized poly-Bernoulli numbers, The Electronic Journal of Combinatorics, 2021.03. |
15. |
Toshiki Matsusaka, Symmetrized poly-Bernoulli numbers and combinatorics, Journal of Integer Sequences, 23, Article 10.9.2, 2020.09. |
16. |
松坂 俊輝, Polyharmonic weak Maass forms of higher depth for SL_2(Z), Ramanujan Journal, 51, 1, 19-42, 2020.01. |
17. |
松坂 俊輝, Fourier coefficients of polyharmonic weak Maass forms, 九州大学 博士論文, 2019.02. |
18. |
松坂 俊輝, Traces of CM values and cycle integrals of polyharmonic Maass forms, Res. Number Theory, 5, 1, 1-25, 2019.01. |
19. |
Toshiki Matsusaka, Real zeros of the Hurwitz zeta function, Acta Arithmetica, 10.4064/aa8647-11-2017, 183, 1, 53-62, 2018.02. |
20. |
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. |
21. |
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.. |
22. |
Toshiki Matsusaka, The Fourier coefficients of the McKay-Thompson series and the traces of CM values, an announcement, RIMS Kokyuroku Bessatsu, Algebraic Number Theory and Related Topics, 2016, B77, 2016.12. |