Publications
- Modular forms and q-analogues of modified double zeta values (2020)
to appear in Abh. Math. Seminar Uni. Hamburg.
Journal link, Arxiv link. - Finite and symmetric Mordell-Tornheim multiple zeta values (2020)
(with Y. Takeyama, K. Tasaka), to appear in J. Math. Soc. Japan.
Arxiv link. - Generalized Jacobi-Trudi determinants and evaluations of Schur multiple zeta values (2020)
(with S. Charlton), European J. Combin . 87 (2020), 103-133.
Journal link, Arxiv link. - Special values of finite multiple harmonic q-series at roots of unity (2020)
(with Y. Takeyama, K. Tasaka), IRMA Lectures in Mathematics and Theoretical Physics 31, "Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) Vol. 2", 1-18.
Journal link, Arxiv link. - Rooted tree maps and the Kawashima relations for multiple zeta values (2020)
(with T. Tanaka), Kyushu J. Math 74 (1), 169-176.
Arxiv link. - The algebra of bi-brackets and regularized multiple Eisenstein series (2019)
J. Number Theory 200, 260-294.
Journal link, Arxiv link. - Cyclotomic analogues of finite multiple zeta values (2018)
(with Y. Takeyama, K. Tasaka), Compositio Math. 154 (12), 2701-2721.
Journal link, Arxiv link. - Rooted tree maps and the derivation relation for multiple zeta values (2018)
(with T. Tanaka), Int. J. Number Theory 14 (10), 2657-2662.
Journal link, Arxiv link. - Checkerboard style Schur multiple zeta values and odd single zeta values (2018)
(with Y. Yamasaki), Math. Zeitschrift 290 (3), 1173-1197.
Journal link, Arxiv link. - Interpolated Schur multiple zeta values (2018)
J. Aust. Math. Soc. 104, 289-307.
Journal link. - A dimension conjecture for q-analogues of multiple zeta values (2020)
(with U. Kühn), Periods in Quantum Field Theory and Arithmetic, Springer Proceedings in Mathematics & Statistics 314, 237-258.
Journal link, Arxiv link. - Multiple Eisenstein series and q-analogues of multiple zeta values (2020)
Periods in Quantum Field Theory and Arithmetic, Springer Proceedings in Mathematics & Statistics 314, 173-235.
Journal link, download. - The double shuffle relations for multiple Eisenstein series (2017)
(with K. Tasaka), Nagoya Math. J. 230, 180-212.
Journal link, Arxiv link. - On multiple series of Eisenstein type (2017)
(with H. Tsumura), Ramanujan J. 42 (2), 479-489.
Journal link, Arxiv link. - The algebra of multiple divisor functions and applications to multiple zeta values (2016)
(with U. Kühn), Ramanujan J. 40 (3), 605-648.
Journal link, Arxiv link.
Papers & Notes (non-refereed)
- Finite multiple harmonic q-series at roots of unity and finite & symmetric multiple zeta values (2019)
(with Y. Takeyama, K. Tasaka), Proceedings of the MSJ Autumn Meeting 2019. download. - Double shuffle relations for q-analogues of multiple zeta values, their derivatives and the connection to multiple Eisenstein series (2016)
RIMS Kôkyûroku, No. 2015, pp 22-43, Arxiv link. - A short note on a conjecture of Okounkov about a q-analogue of multiple zeta values (2014)
(with U. Kühn), Arxiv link.
Thesis
- Multiple Eisenstein series and q-analogues of multiple zeta values (PhD Thesis, 2015)
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Defense slides - Multiple Zeta-Werte und die Verbindung zu Modulformen durch Multiple Eisensteinreihen (Masterthesis , 2012)
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Last update: 30th October 2020