Publications

  1. ​MacMahon's sums-of-divisors and their connection to multiple Eisenstein series (2024)
    ​Arxiv link, to appear in Research in Number Theory.
  2. Partitions, Multiple Zeta Values and the q-bracket (2023)
    (with J.-W. van Ittersum), Selecta Math. 30:3 (2024), 46 pages.
    Journal link, Arxiv link.
  3. Combinatorial multiple Eisenstein series (2023)
    (with A. Burmester​), Res. Math. Sci. 10, 35.
    Journal link, Arxiv link.
  4. 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.
  5. 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.
  6. Modular forms and q-analogues of modified double zeta values (2020)
    Abh. Math. Seminar Uni. Hamburg  90, 201-213.
    ​Journal link, Arxiv link.​​
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. The algebra of bi-brackets and regularized multiple Eisenstein series (2019)
    J. Number Theory     200, 260-294.
    Journal link, Arxiv link.
  12. Cyclotomic analogues of finite multiple zeta values  (2018)
    (with Y. Takeyama, K. Tasaka), Compositio Math. 154 (12), 2701-2721.
    Journal link, Arxiv link​.
  13. ​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.
  14. 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​.
  15. Interpolated Schur multiple zeta values   (2018)
    J. Aust. Math. Soc. 104, 289-307.
    Journal link​.    ​
  16. 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.
  17. The double shuffle relations for multiple Eisenstein series​   (2017)
    (with K. Tasaka), Nagoya Math. J. 230, 180-212.
    ​Journal link,  Arxiv link.
  18. On multiple series of Eisenstein type​   (2017)
    (with H. Tsumura), Ramanujan J. 42 (2), 479-489.
    Journal link,  Arxiv link.
  19. 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. On a conjecture of Zhao related to standard relations among cyclotomic multiple zeta values (2024)
    (with K. Yaddaden), Arxiv link.
  2. Formal multiple Eisenstein series and their derivations (2023)
    (with J.-W. van Ittersum, Appendix by N. Matthes), Arxiv link. ​​​
  3. Realizations of the formal double Eisenstein space (2021)
    (with U. K​ühn, N. Matthes), Arxiv link, submitted. 
    ​

Proceedings & Notes (non-refereed)

  1. On the sl2-algebra of formal multiple Eisenstein series (2024)
    RIMS Kôkyûroku, to appear. 
  2. Stuffle regularized multiple Eisenstein series revisited (2022)
    RIMS Kôkyûroku, No. 2239, p. 73-86, ​Arxiv link.
  3. q-analogues of multiple zeta values and the formal double Eisenstein space (2021)
    2021 Waseda number theory Conference Proceedings. Arxiv link.
  4. Relations satisfied by double q-zeta values (2020)
    (with A. Burmester, U. K​ühn), RIMS Kôkyûroku No. 2160, p. 219-232.
  5. 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.
  6. 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​.
  7. 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: 3rd December 2024