Publications

1. Partitions, Multiple Zeta Values and the q-bracket (2023)
   (with J.-W. van Ittersum), to appear in Selecta Mathematica.
   Arxiv link.
2. Combinatorial multiple Eisenstein series (2023)
   (with A. Burmester​), Res. Math. Sci. 10, 35.
   Journal link, Arxiv link.
3. Sum formulas for Schur multiple zeta values (2023)
   (with S. Kadota, Y. Suzuki, S. Yamamoto, Y. Yamasaki), Journal of Combinatorial Theory, Series A, 200.
   ​Journal link, Arxiv link.
4. 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.
5. Modular forms and q-analogues of modified double zeta values (2020)
   Abh. Math. Seminar Uni. Hamburg  90, 201-213.
   ​Journal link, Arxiv link.​​
6. 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.
7. 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.
8. 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.
9. The algebra of bi-brackets and regularized multiple Eisenstein series (2019)
   J. Number Theory 200, 260-294.
   Journal link, Arxiv link.
10. Cyclotomic analogues of finite multiple zeta values  (2018)
    (with Y. Takeyama, K. Tasaka), Compositio Math. 154 (12), 2701-2721.
    Journal link, Arxiv link​.
11. ​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.
12. 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​.
13. Interpolated Schur multiple zeta values   (2018)
    J. Aust. Math. Soc. 104, 289-307.
    Journal link​.
14. 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.
15. 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.
16. The double shuffle relations for multiple Eisenstein series​   (2017)
    (with K. Tasaka), Nagoya Math. J. 230, 180-212.
    ​Journal link,  Arxiv link.
17. On multiple series of Eisenstein type​   (2017)
    (with H. Tsumura), Ramanujan J. 42 (2), 479-489.
    Journal link,  Arxiv link.
18. 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. Formal multiple Eisenstein series and their derivations (2023)
   (J.-W. van Ittersum), in preparation.​​​
2. Realizations of the formal double Eisenstein space (2021)
   (with U. K​ühn, N. Matthes), Arxiv link, submitted. 
   ​

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: 27th September 2023