Research Interests: Number Theory (multiple zeta values, multiple L-values)
[Thesis]
- Master thesis: A few applications of shuffle products for $p$-adic multiple zeta values, 2004.3, Kyushu University.
- Doctor thesis: On the extended derivation relation for multiple zeta values, 2008.3, Kyushu University.
[Papers]
- On the quasi-derivation relation for multiple zeta values, J. Number Theory 129, (2009), 2021--2034.
- An algebraic proof of the cyclic sum formula for multiple zeta values (with N. Wakabayashi), J. Algebra 323 (2010), 766--778.
- Algebraic interpretation of Kawashima relation for multiple zeta values and its applications, RIMS Kôkyûroku-bessatsu B19 (2010), 117--134.
- A simple proof of certain formula for multiple zeta-star values, J. Alg., Num. Theory: Adv. and Appl. vol.3 (2) (2010), 97--110.
- Combinatorial remarks on the cyclic sum formula for multiple zeta values (with S. Saito, N. Wakabayashi), J. Integer Seq. 14 (2011), no. 2, Article 11.2.4, 20 pp.
- Anderson-Darling test and the Malliavin calculus (with T. Hirotsu, H. Kondo, S. Saito, T. Sato, S. Taniguchi), J. Math-for-Ind., vol. 3 (2011), 73--78.
- Cyclic sum formula for multiple $L$-values (with G. Kawashima, N. Wakabayashi), J. Algebra 348 (2011), 336--349.
- A note on infinite divisibility of zeta distributions (with S. Saito), Applied Math. Sci. vol.6, no.30 (2012), 1455--1461.
- The Bowman-Bradley theorem for multiple zeta-star values (with H. Kondo, S. Saito), J. Number Theory 132, (2012), 1984--2002.
[Preprints]
- "Newton series and extended derivation relations for multiple $L$-values" (with G. Kawashima), preprint.
- "On some combinations of multiple zeta-star values" (with K. Imatomi, K. Tasaka, N. Wakabayashi), preprint.
[Kôkyûroku]
- On the duality formula of $p$-adic multiple zeta values (in Japanese), RIMS Kôkyûroku 1549 (2007.4), pp.169--176.
- Introduction to multiple zeta values (in Japanese), the 2nd COE Conference for Young Researchers (CCYR2) Kôkyûroku (2006), pp.23--27.
- On the quasi-derivation relation for multiple zeta values (a survey) (in Japanese), the 5th Mathematics Conference for Young Researchers (MCYR5) Kôkyûroku (2009.3), pp.56--60.
- On some relations among multiple $L$-values (in Japanese), the 6th Mathematics Conference for Young Researchers (MCYR6) Kôkyûroku (2010.2), pp.96--99.
- On some relations for multiple $L$-values (in Japanese), RIMS Kôkyûroku 1710 (2010.8),192--198.
- Quasi-derivation relation, Cyclic sum formula and special evaluations for multiple zeta values (in Japanese), RIMS Kôkyûroku (to appear).
- Non-divisibility of the non-strict multiple zeta distribution (in Japanese), RIMS Kôkyûroku (to appear).
[Proceedings]
- On $p$-adic multiple zeta values (in Japanese), Proceedings of the 2nd New Face Kinosaki Seminar (2005), pp.199--201.
- Calculation and Observation of twisted derivation relation by using Risa/asir (in Japanese), Proceedings of Fukuoka Number Theory Conference (2006.11), pp.31--36.
- A survey on IBNR estimation methods --- Run-off triangle and chain ladder method --- (in Japanese), MI lecture note ``Stocastic models on non-life insurance'', 1--10, 2009.2.
- Subdivision for estimations on premiums (in Japanese), MI lecture note ``Stocastic models on non-life insurance'', 47--52, 2009.2.
- Duality for multiple zeta values and related topics (survey) (in Japanese), Proceedings of the second MZV seminar, 33--43, 2010.2.