Henrik Bachmann
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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. Combinatorial multiple Eisenstein series (2022)
    (with A. Burmester​), Arxiv link, preprint.
  2. Partitions, Multiple Zeta Values and the q-bracket (2022)
    (with J.-W. van Ittersum), Arxiv link, preprint.
  3. Realizations of the formal double Eisenstein space (2021)
    (with U. K​ühn, N. Matthes), Arxiv link, preprint. 

Proceedings & Notes (non-refereed)

  1. q-analogues of multiple zeta values and the formal double Eisenstein space (2021)
    2021 Waseda number theory Conference Proceedings. Arxiv link.
  2. Relations satisfied by double q-zeta values (2020)
    (with A. Burmester, U. K​ühn), RIMS Kôkyûroku No. 2160, p. 219-232.
  3. 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.
  4. 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​.
  5. 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: 1st April 2022
Address:
Math Building, Room 457
Graduate School of Mathematics, Nagoya University
Chikusa-ku, Nagoya, 464-8602
Japan

Email: henrik.bachmann (at) math.nagoya-u.ac.jp
​Tel :  +81-52-789-2428 ​
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