Publications

Accepted Papers

1. Minoru Hirose, An explicit parity theorem for multiple zeta values via multitangent functions, accepted, The Ramanujan Journal. arXiv:2403.14604 

2. Minoru Hirose, Hideki Murahara, Tomokazu Onozuka, On the asymptotic behavior of the double zeta function for large negative indices, Results in Mathematics 80 (78), 2025.  doi.org/10.1007/s00025-025-02392-8 

3. Minoru Hirose, Hideki Murahara, Shingo Saito,  t-adic symmetric multiple zeta values for indices in which 1 and 3 appear alternately, Acta Arithmetica 216, 249-275, 2024.  arXiv:2203.07701 

4. Minoru Hirose, Hideki Murahara, Tomokazu Onozuka, Sum formula for multiple zeta function, The Ramanujan Journal 65 1607–1619, 2024. arXiv:1808.01559, doi.org/10.1007/s11139-024-00948-w 

5. Minoru Hirose, Hideki Murahara, Tomokazu Onozuka, Multiple zeta-star values for indices of infinite length, Journal of the Mathematical Society of Japan (to appear). arXiv:2309.09201 

6. Minoru Hirose, Hideki Murahara, Tomokazu Onozuka, Integral expressions for Schur multiple zeta values, Indagationes Mathematicae, Volume 35, Issue 6, pp. 1197-1211.   arXiv:2209.04858 , doi.org/10.1016/j.indag.2024.05.010 

7. Minoru Hirose, Shingo Saito, Characterization of order structures avoiding three-term arithmetic progressions, Order, 2024.  arXiv:2404.13510 , doi.org/10.1007/s11083-024-09677-7 

8. Minoru Hirose, Hideki Murahara, Shingo Saito, Ohno relation for regularized multiple zeta values, Journal of the Mathematical Society of Japan 75 (4) 1177-1193, 2023.  arXiv:2105.09631, doi.org/10.2969/jmsj/89088908 

9. Minoru Hirose, Hideki Murahara, Tomokazu Onozuka,  On the linear relations among parametrized multiple series, The Ramanujan Journal 60 1095–1105, 2023. arXiv:2111.12975, doi.org/10.1007/s11139-022-00658-1 

10. Minoru Hirose, Modular phenomena for regularized double zeta values, Israel Journal of Mathematics 261, 501–547, 2024. arXiv:2003.05236, doi.org/10.1007/s11856-023-2587-4 

11. Minoru Hirose, A proof of the refined class number formula of Gross, Tunisian Journal of Mathematics 5 (1) 73-123, 2023. arXiv:1608.04718, doi.org/10.2140/tunis.2023.5.73 

12. Minoru Hirose, Hideki Murahara, Shingo Saito, Generating functions for Ohno type sums of finite and symmetric multiple zeta-star values, Asian Journal of Mathematics 25 (6) 871-882, 2021.  arXiv:1905.04875, doi.org/10.4310/AJM.2021.v25.n6.a4 

13. Minoru Hirose, Hideki Murahara, Masataka Ono, Ohno-type relation for interpolated multiple zeta values, Journal of Number Theory 238 710-730, 2022. arXiv:2103.14851, doi.org/10.1016/j.jnt.2021.09.014 

14. Minoru Hirose, Toshiki Matsusaka, Ryutaro Sekigawa, Hyuga Yoshizaki, Bijective enumerations for symmetrized poly-Bernoulli polynomials, The Electronic Journal of Combinatorics 29 (3). arXiv:2107.11952, doi.org/10.37236/10598 

15. Minoru Hirose, Hideki Murahara, Shingo Saito, Generating functions for sums of polynomial multiple zeta values, Tohoku Mathematical Journal 74 (3) 399-428, 2022.  arXiv:2011.04220 , doi.org/10.2748/tmj.20210409 

16. Minoru Hirose, Hideki Murahara, Tomokazu Onozuka, $${\mathbb {Q } }$$-linear relations of specific families of multiple zeta values and the linear part of Kawashima’s relation, manuscripta mathematica 164(3-4) 455-465, 2021. arXiv:1903.04140, doi.org/10.1007/s00229-020-01191-5

17. Minoru Hirose, Hideki Murahara, Masataka Ono, On variants of symmetric multiple zeta-star values and the cyclic sum formula, The Ramanujan Journal 56 467–489,  2021. arXiv:2001.03832, doi.org/10.1007/s11139-020-00341-3

18. Minoru Hirose, Nobuo Sato, Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals, Journal of Algebra 556 363-384, 2020. arXiv:1801.03165, doi.org/10.1016/j.jalgebra.2020.01.032

19. Minoru Hirose, Hideki Murahara, Tomokazu Onozuka, Nobuo Sato, Linear relations of Ohno sums of multiple zeta values, Indagationes Mathematicae 31(4) 556-567, 2020. arXiv:1910.07740, doi.org/10.1016/j.indag.2020.04.004

20. Minoru Hirose, Nobuo Sato, Shin-ichiro Seki, The connector for Double Ohno relation, Acta Arithmetica, 201(2) 109-118, 2021. arXiv:2006.09036 ,  doi.org/10.4064/aa200621-18-5 

21. Minoru Hirose, Hideki Murahara, Tomokazu Onozuka, An interpolation of Ohno's relation to complex functions, MATHEMATICA SCANDINAVICA 126(2) 293-297, 2020. arXiv:1808.07203, doi.org/10.7146/math.scand.a-119209

22. Minoru Hirose, Hideki Murahara, Shingo Saito, Polynomial Generalization of the Regularization Theorem for Multiple Zeta Values, Publications of the Research Institute for Mathematical Sciences 56(1) 207-215, 2020. arXiv:1808.06745, doi.org/10.4171/PRIMS/56-1-9

23. Minoru Hirose, Kohtaro Imatomi, Hideki Murahara, Shingo Saito, Ohno type relations for classical and finite multiple zeta-star values, Kyushu Journal of Mathematics 75(1) 115 - 124, 2021. arXiv:1806.09299, doi.org/10.2206/kyushujm.75.115

24. Minoru Hirose, Double shuffle relations for refined symmetric multiple zeta values, Documenta Mathematica 25 365-380, 2020. arXiv:1807.04747, doi.org/10.25537/dm.2020v25.365-380

25. Minoru Hirose, Hideki Murahara, Takuya Murakami, A Cyclic Analogue of Multiple Zeta Values, Commentarii mathematici Universitatis Sancti Pauli 67(2) 147-166, 2019. arXiv:1806.10888, doi.org/10.14992/00018670

26. Minoru Hirose, On the theory of normalized Shintani L-functions and its application to Hecke L-functions, I: Real quadratic fields, Journal of Number Theory 200 132-153, 2019. doi.org/10.1016/j.jnt.2018.11.023

27. Minoru Hirose, Nobuo Sato, Iterated integrals on P1∖{0,1,∞,z} and a class of relations among multiple zeta values, Advances in Mathematics 348 163-182, 2019. arXiv:1801.03807 , doi.org/10.1016/j.aim.2019.03.005

28. Minoru Hirose, Kohei Iwaki, Nobuo Sato, Koji Tasaka, Duality/sum formulas for iterated integrals and their application to multiple zeta values, Journal of Number Theory 195 72-83, 2019. arXiv:1704.06387 , doi.org/10.1016/j.jnt.2018.05.019

29. Minoru Hirose, Nobuo Sato, Hoffman’s conjectural identity, International Journal of Number Theory 15(01) 167-171, 2019. arXiv:1704.06478, doi.org/10.1142/S1793042119500052

30. Minoru Hirose, Hideki Murahara, Shingo Saito, Weighted sum formula for multiple harmonic sums modulo primes, Proceedings of the American Mathematical Society 147 3357-3366, 2018. arXiv:1808.00844,  doi.org/10.1090/proc/14588

31. Minoru HIROSE, Makoto KAWASHIMA, Nobuo SATO, A Lower Bound of the Dimension of the Vector Space Spanned by the Special Values of Certain Functions, Tokyo Journal of Mathematics 40(2) 439-479, 2017. doi.org/10.3836/tjm/1502179237

32. Minoru Hirose, Nobuo Sato, On the functional equation of the normalized Shintani L-function of several variables, MATHEMATISCHE ZEITSCHRIFT 280(3-4) 1085-1092, 2015. arXiv:1310.7716,  doi.org/10.1007/s00209-015-1467-y

33. Minoru Hirose, Nobuo Sato, Koji Tasaka, Eisenstein series identities based on partial fraction decomposition, RAMANUJAN JOURNAL 38(3) 455-463, 2014. doi.org/10.1007/s11139-014-9639-7

34. Minoru Hirose, On Yoshida’s conjecture on the derivative of Shintani zeta functions, Proceedings of the Japan Academy, Series A, Mathematical Sciences 87(1) 13-15, 2011. doi.org/10.3792/pjaa.87.13

Preprints

1. Minoru Hirose, Takumi Maesaka, Shin-ichiro Seki, Taiki Watanabe, The ℤ-module of multiple zeta values is generated by ones for indices without ones, 2024. arXiv:2505.07221 

2. Minoru Hirose, Hideki Murahara, Shingo Saito, Ohno relation for regularized refined symmetric multiple zeta values, 2024. arXiv:2411.15431 

3. Minoru Hirose, Mixed Tate motives and cyclotomic multiple zeta values of level 2^n or 3^n, 2024. arXiv:2408.15975 

4. Minoru Hirose, Toshiki Matsusaka, Shin-ichiro Seki, A discretization of the iterated integral expression of the multiple polylogarithm, 2024. arXiv:2404.15210 

5. Minoru Hirose, Multitangent functions and symmetric multiple zeta values, 2024. arXiv:2402.13902 

6. Hidekazu Furusho, Minoru Hirose, Nao Komiyama, Associators in mould theory, 2023. arXiv:2312.15423 

7. Minoru Hirose, Hanamichi Kawamura, On a lifting of t-adic symmetric multiple zeta values, 2023. arXiv:2311.00473 

8. Minoru Hirose, The cyclotomic Grothendieck-Teichmüller group and the motivic Galois group , 2023. arXiv:2301.04064 

9. Minoru Hirose, Nobuo Sato, Block shuffle identities for multiple zeta values, 2022. arXiv:2206.03458   

10. Minoru Hirose, Colored double zeta values and modular forms of general level , 2022.  arXiv:2205.08507 

11. Minoru Hirose, Nobuo Sato, The motivic Galois group of mixed Tate motives over $\mathbb{Z}[1/2]$ and its action on the fundamental group of $\mathbb{P}^{1}\setminus\{0,\pm1,\infty\}$, 2020. arXiv:2007.04288

12. Minoru Hirose, Shintani zeta functions and a refinement of Gross's leading term conjecture, 2016. arXiv:1602.00666

13. Minoru Hirose, On the theory of normalized Shintani L-function and its application to Hecke L-function, 2013. arXiv:1312.6218