Publications
Preprints
1. Minoru Hirose, Hideki Murahara, and Tomokazu Onozuka, `Sum formula for multiple zeta function', arXiv:1808.01559 2018. 8
2. Yasunobu Horikawa, Hideki Murahara, and Kojiro Oyama, `A note on derivation relations for multiple zeta values and finite multiple zeta values', arXiv:1809.08389 2018. 9
3. Hideki Murahara and Takashi Nakamura, `On a basis for Euler-Zagier double zeta functions with non-positive components', arXiv:2005.09852 2020. 5
4. Minoru Hirose, Hideki Murahara, and Shingo Saito, `$t$-adic symmetric multiple zeta values for indices in which $1$ and $3$ appear alternately', arXiv:2203.07701 2022.3
5. Noritaka Maebayashi and Hideki Murahara, `A new characterization of consumer heterogeneity in a growing economy', MPRA Paper No.114887 2022. 10
6. Minoru Hirose, Hideki Murahara, and Tomokazu Onozuka, `On the asymptotic behavior of the double zeta function for large negative indices', arXiv:2303.04650 2023. 3
7. Minoru Hirose, Hideki Murahara, and Tomokazu Onozuka, `Multiple zeta-star values for indices of infinite length', arXiv:2309.09201 2023. 9
8. Toshiki Matsusaka, Hideki Murahara, and Tomokazu Onozuka, 'Asymptotic coefficients of multiple zeta functions at the origin and generalized Gregory coefficients', arXiv:2312.14475 2023. 12
9. Hideki Murahara, Tatsushi Tanaka, and Noriko Wakabayashi, 'On a family of relations of rooted tree maps', arXiv:2403.04186 2024. 3
Published Papers
1. Hideki Murahara, `Sensitivity analysis for equations involving nonlinear semi-positive operators', Journals of the Graduate School of Fukuoka University 42(1) 165-169 2010. 7
2. Hideki Murahara, `Linear symmetric duality through von Neumann's common point theorem', Journals of the Graduate School of Fukuoka University 43(1) 95-98 2011. 7
3. Hideki Murahara, `A note on finite real multiple zeta values', Kyushu Journal of Mathematics 70 (1) (February 2016), 197-204.
4. Hideki Murahara, `Derivation relations for finite multiple zeta values', International Journal of Number Theory 13 (February 2017), 419-427.
5. Hideki Murahara and Mika Sakata, `On multiple zeta values and finite multiple zeta values of maximal height', International Journal of Number Theory 14 (February 2018), 975-987.
6. Hideki Murahara, `Lonesum Matrix as Instructional Materials in Teaching Arithmetic', Bulletin of Nakamura Gakuen University and Nakamura Gakuen Junior College 50 (March 2018), 213-217.
7. Hideki Murahara and Hiroko Kurahara , `A Study on “Pleasant Moving of Ten Children”-Based on both Learning Continuity in Preschools and Elementary Schools, and Cooperation between Arithmetic and Art Education', Bulletin of Nakamura Gakuen Developmental Support Center 9 (March 2018), 101-106.
8. Minoru Hirose, Hideki Murahara, and Shingo Saito, `Weighted sum formula for multiple harmonic sums modulo primes', Proceedings of the American Mathematical Society 147(8) (January 2019), 3357-3366.
9. Hideki Murahara and Shingo Saito, `Restricted sum formula for finite and symmetric multiple zeta values', Pacific Journal of Mathematics 303(1) (January 2019), 325-335.
10. Minoru Hirose, Hideki Murahara, and Takuya Murakami, `A cyclic analogue of multiple zeta values', Commentarii mathematici Universitatis Sancti Pauli 67(2) (December 2019), 147-166.
11. Minoru Hirose, Hideki Murahara, and Shingo Saito, `Polynomial generalization of the regularization theorem for multiple zeta values', Publications of Research Institute for Mathematical Sciences, Kyoto University 56 (1) (January 2020), 207-215.
12. Hideki Murahara and Takuya Murakami, `On a generalisation of a restricted sum formula for multiple zeta values and finite multiple zeta values ', Bulletin of the Australian Mathematical Society 101 (1) (February 2020), 23-34.
13. Tomio Shingae, Hideki Murahara, Shinobu Arai, Yasuhiro lshida, MitSuhiro Okada, Keiko Nishimura, and Shunichi Nogami, `Practical Issues Related to Elementary School Programming Education and Teacher Training in Category A: Mathematics, Scicence, and Comprehensive Learning', Bulletin of Nakamura Gakuen University and Nakamura Gakuen Junior College 52 (March 2020) , 183-192.
14. Minoru Hirose, Hideki Murahara, and Tomokazu Onozuka, `An interpolation of Ohno's relation to complex functions', Mathematica Scandinavica 126(2) (May 2020), 293-297.
15. Hideki Murahara, Tomokazu Onozuka, and Shin-ichiro Seki, `Bowman-Bradley type theorem for finite multiple zeta values in $\mathcal{A}_2$', Osaka Journal of Mathematics 57 (3) (July 2020), 647-653.
16. Minoru Hirose, Hideki Murahara, and Tomokazu Onozuka, Nobuo Sato, `Linear relations of Ohno sums of multiple zeta values', Indagationes mathematicae 31 (4) (July 2020), 556-567.
17. Masanobu Kaneko, Hideki Murahara, and Takuya Murakami, `Quasi-derivation relations for multiple zeta values revisited', Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 90(2) (October 2020), 151-160.
18. Hideki Murahara, `On a generalization of the cyclic sum formula for finite multiple zeta and zeta-star values', Indagationes mathematicae 31(6) (November 2020), 1144-1154.
19. Minoru Hirose, Hideki Murahara, and Masataka Ono, `On variants of symmetric multiple zeta-star values and the cyclic sum formula', The Ramanujan Journal 56 (February 2021), 467-489.
20. Minoru Hirose, Hideki Murahara, and Tomokazu Onozuka, `Q-linear relations of specific families of multiple zeta values and the linear part of Kawashima's relation', manuscripta mathematica 164 (March 2021), 455-465.
21. Hideki Murahara and Tomokazu Onozuka, `Derivation relation for finite multiple zeta values in $\widehat{A}$', Journal of the Australian Mathematical Society 110(2) (April 2021), 260-265.
22. Minoru Hirose, Kotaro Imatomi, Hideki Murahara, and Shingo Saito, `Ohno type relations for classical and finite multiple zeta-star values', Kyushu Journal of Mathematics 75(1) (June 2021), 115-124.
23. Hideki Murahara, `A note on Ohno sums for multiple zeta values', Indian Journal of Pure and Applied Mathematics 53(4) (December 2022), 830-842.
24. Hideki Murahara, `A combinatorial proof of the weighted sum formula for finite and symmetric multiple zeta(-star) values', Kobe journal of mathematics 38 (December 21, 2021), 73-81.
25. Hideki Murahara and Masataka Ono, `Yamamoto's interpolation of finite multiple zeta and zeta-star values', Tokyo Journal of Mathematics 44(2) (December 2021), 285-312.
26. Hideki Murahara and Tomokazu Onozuka, `Connectors of the Ohno relation for parametrized multiple series', Rocky Mountain Journal of Mathematics 52(2) (April 2022), 687-694.
27. Minoru Hirose, Hideki Murahara, and Masataka Ono, `Ohno-type relation for interpolated multiple zeta values', Journal of Number Theory 238 (September 2022), 710-730.
28. Minoru Hirose, Hideki Murahara, and Shingo Saito, `Generating functions for sums of polynomial multiple zeta values', Tohoku Mathematical Journal 74(3) (September 2022), 399-428.
29. Hideki Murahara and Tomokazu Onozuka, `Cyclic relation for multiple zeta function', Research in Number Theory 8(3) (September 2022), Paper No. 64, 14 p.
30. Hideki Murahara and Tomokazu Onozuka, `Asymptotic behavior of the Hurwitz-Lerch multiple zeta function at non-positive integer points', Acta Arithmetica 205(3) (October 2022), 191-210.
31. Minoru Hirose, Hideki Murahara, and Shingo Saito, `Generating functions for Ohno type sums of finite and symmetric multiple zeta-star values', The Asian Journal of Mathematics 25(6) (24 October 2022), 871-882.
32. Hideki Murahara and Tomokazu Onozuka, `On the a-points of symmetric sum of multiple zeta function', Moscow Mathematical Journal 22(4) (October–December 2022), 741-757.
33. Hideki Murahara and Tatsushi Tanaka, `Algebraic aspects of rooted tree maps', The Ramanujan Journal 60(1) (January 2023), 123–139.
34. Minoru Hirose, Hideki Murahara, and Tomokazu Onozuka, `On the linear relations among parametrized multiple series', The Ramanujan Journal (Published online: 03 November 2022).
35. Minoru Hirose, Hideki Murahara, and Shingo Saito, `Ohno relation for regularized multiple zeta values', Journal of the Mathematical Society of Japan 75(4), (October 2023), 1177-1193.
36. Minoru Hirose, Hideki Murahara, and Shingo Saito, `Interpolated polynomial multiple zeta values of fixed weight, depth, and height', Pure and Applied Functional Analysis 8(6) (2023), 1723-1732.
37. 村原英樹, 森脇 敏雄, `ギブスサンプリング法を用いた構造変化に関する分析：パンデミック前後における投資家の売買取引への適用', 北九州市立大学『商経論集』58(1･2) (December 2023), 17-41.
38. Hideki Murahara, Tatsushi Tanaka, and Noriko Wakabayashi, `Rooted tree maps for multiple L-values from a perspective of harmonic algebras', Algebra and Number Theory (to appear).
39. Minoru Hirose, Hideki Murahara, and Tomokazu Onozuka, `Integral expressions for Schur multiple zeta values', Indagationes Mathematicae (to appear).