Publications

1. Finite and symmetric Mordell-Tornheim multiple zeta values (2021)
   (with Y. Takeyama, K. Tasaka), J. Math. Soc. Japan 73, No. 4 (2021), 1129–1158
   Journal link, Arxiv link.
2. Modular forms and q-analogues of modified double zeta values (2020)
   Abh. Math. Seminar Uni. Hamburg  90, 201-213.
   ​Journal link, Arxiv link.​​
3. 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.
4. 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.
5. Rooted t​ree maps and the Kawashima relations for multiple zeta values (2020)
   (with T. Tanaka), Kyushu J. Math 74 (1), 169-176.
   Arxiv link.
6. The algebra of bi-brackets and regularized multiple Eisenstein series (2019)
   J. Number Theory 200, 260-294.
   Journal link, Arxiv link.
7. Cyclotomic analogues of finite multiple zeta values  (2018)
   (with Y. Takeyama, K. Tasaka), Compositio Math. 154 (12), 2701-2721.
   Journal link, Arxiv link​.
8. ​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.
9. 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​.
10. Interpolated Schur multiple zeta values   (2018)
    J. Aust. Math. Soc. 104, 289-307.
    Journal link​.
11. A dimension conjecture for q-analogues of multiple zeta values  (2020)
    (with U. K​ühn), Periods in Quantum Field Theory and Arithmetic, Springer Proceedings in Mathematics & Statistics 314,  237-258.
    Journal link, ​Arxiv link.
12. 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.
13. The double shuffle relations for multiple Eisenstein series​   (2017)
    (with K. Tasaka), Nagoya Math. J. 230, 180-212.
    ​Journal link,  Arxiv link.
14. On multiple series of Eisenstein type​   (2017)
    (with H. Tsumura), Ramanujan J. 42 (2), 479-489.
    Journal link,  Arxiv link.
15. The algebra of multiple divisor functions and applications to multiple zeta values​   (2016)
    (with U. K​ühn), Ramanujan J. 40 (3), 605-648​.
    ​Journal link,  Arxiv link.
    ​​

Preprints

1. A structure theorem for multiple q-zeta values and formal multiple Eisenstein series (2023)
   (with B. Brindle, J.-W. van Ittersum), preprint.
   
2. Sum formulas for Schur multiple zeta values (2023)
   (with S. Kadota, Y. Suzuki, S. Yamamoto, Y. Yamasaki), Arxiv link, preprint.
3. Combinatorial multiple Eisenstein series (2022)
   (with A. Burmester​), Arxiv link, preprint.
4. Partitions, Multiple Zeta Values and the q-bracket (2022)
   (with J.-W. van Ittersum), Arxiv link, preprint.
5. Realizations of the formal double Eisenstein space (2021)
   (with U. K​ühn, N. Matthes), Arxiv link, preprint. 
   ​

Proceedings & Notes (non-refereed)

1. Stuffle regularized multiple Eisenstein series revisited (2022)
   will appear in RIMS Kôkyûroku. Arxiv link.
2. q-analogues of multiple zeta values and the formal double Eisenstein space (2021)
   2021 Waseda number theory Conference Proceedings. Arxiv link.
3. Relations satisfied by double q-zeta values (2020)
   (with A. Burmester, U. K​ühn), RIMS Kôkyûroku No. 2160, p. 219-232.
4. 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.
5. Double shuffle relations for q-analogues of multiple zeta values, their derivatives and the connection to multiple Eisenstein series  (2016)
   RIMS Kôkyûroku, No. 2015, p. 22-43, ​Arxiv link​.
6. A short note on a conjecture of Okounkov about a q-analogue of multiple zeta values   (2014)
   ​(with U. K​ühn), ​Arxiv link​​.
   ​

Thesis

• Multiple Eisenstein series and q-analogues of multiple zeta values  (PhD Thesis, 2015)
  Download
  Defense slides
• Multiple Zeta-Werte und die Verbindung zu Modulformen durch Multiple Eisensteinreihen  (Masterthesis , 2012)
  ​Download​​

Last update: 7th March 2023