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BACHMANN Henrik  BACHMANN Henrik

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Bachmann Henrik  BACHMANN Henrik

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Researcher Number 20813372
Other IDs
Affiliation (Current) 2026: 名古屋大学, 多元数理科学研究科, 准教授
Affiliation (based on the past Project Information) *help 2023 – 2024: 名古屋大学, 多元数理科学研究科, 准教授
2022: 名古屋大学, 多元数理科学研究科(国際), G30特任准教授
2019 – 2021: 名古屋大学, 多元数理科学研究科, 特任助教
Review Section/Research Field
Principal Investigator
Basic Section 11010:Algebra-related
Keywords
Principal Investigator
Eisenstein series / modular forms / q-analogues of MZV / multiple zeta values / double shuffle relations / Modular forms / Multiple zeta values / finite MZV / Kronecker function / Hilbert schemes … More / square-tiled surfaces / q-analogues / mult. Eisenstein series / functions on partitions / Functions on partitions Less
  • Research Projects

    (3 results)
  • Research Products

    (26 results)
  • Co-Researchers

    (1 People)
  •  Connections of (quasi)modular forms to multiple zeta values and their finite analoguesPrincipal Investigator

    • Principal Investigator
      BACHMANN Henrik
    • Project Period (FY)
      2023 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Nagoya University
  •  Generalizations of the double shuffle relations for multiple zeta values and the connections to modular formsPrincipal Investigator

    • Principal Investigator
      Bachmann Henrik
    • Project Period (FY)
      2021 – 2022
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Nagoya University
  •  q-analogues of multiple zeta values and their applications in geometryPrincipal Investigator

    • Principal Investigator
      Bachmann Henrik
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Nagoya University

All 2024 2023 2022 2021 2020 2019

All Journal Article Presentation

  • [Journal Article] Macmahon’s sums-of-divisors and their connection to multiple Eisenstein series2024

    • Author(s)
      Bachmann Henrik
    • Journal Title

      Research in Number Theory

      Volume: 10 Issue: 2 Pages: 10-10

    • DOI

      10.1007/s40993-024-00537-2

    • Data Source
      KAKENHI-PROJECT-23K03030
  • [Journal Article] Combinatorial multiple Eisenstein series2023

    • Author(s)
      Bachmann Henrik、Burmester Annika
    • Journal Title

      Research in the Mathematical Sciences

      Volume: 10 Issue: 3 Pages: 32-32

    • DOI

      10.1007/s40687-023-00398-8

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03030
  • [Journal Article] Partitions, multiple zeta values and the q-bracket2023

    • Author(s)
      Bachmann Henrik、van Ittersum Jan-Willem
    • Journal Title

      Selecta Mathematica

      Volume: 30 Issue: 1 Pages: 46-46

    • DOI

      10.1007/s00029-023-00893-4

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03030
  • [Journal Article] Finite and symmetric Mordell–Tornheim multiple zeta values2021

    • Author(s)
      BACHMANN Henrik, TAKEYAMA Yoshihiro, TASAKA Koji
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 73 Issue: 4 Pages: 1129-1158

    • DOI

      10.2969/jmsj/84348434

    • NAID

      130008106917

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03233, KAKENHI-PROJECT-19K14499, KAKENHI-PROJECT-20K14294, KAKENHI-PROJECT-18H01110
  • [Journal Article] Special values of finite multiple harmonic q-series at roots of unity2020

    • Author(s)
      Bachmann Henrikl, Takeyama Yoshihiro, Tasaka Koji
    • Journal Title

      ALGEBRAIC COMBINATORICS, RESURGENCE, MOULDS AND APPLICATIONS (CARMA) Vol. 2, IRMA Lectures in Mathematics and Theoretical Physics

      Volume: 32 Pages: 1-18

    • DOI

      10.4171/205-1/1

    • ISBN
      9783037192054, 9783037197059
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03233, KAKENHI-PROJECT-19K14499
  • [Journal Article] Generalized Jacobi?Trudi determinants and evaluations of Schur multiple zeta values2020

    • Author(s)
      Bachmann Henrik、Charlton Steven
    • Journal Title

      European Journal of Combinatorics

      Volume: 87 Pages: 103133-103133

    • DOI

      10.1016/j.ejc.2020.103133

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14499
  • [Journal Article] Modular forms and q-analogues of modified double zeta values2020

    • Author(s)
      Bachmann Henrik
    • Journal Title

      Abhandlungen aus dem Mathematischen Seminar der Universit?t Hamburg

      Volume: 90 Issue: 2 Pages: 201-213

    • DOI

      10.1007/s12188-020-00227-7

    • Data Source
      KAKENHI-PROJECT-19K14499
  • [Presentation] Derivations for quasi-shuffle algebras2024

    • Author(s)
      Henrik Bachmann
    • Organizer
      第18回多重ゼータ研究集会, Kindai University
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03030
  • [Presentation] Recent developments and 12 open problems on multiple Eisenstein series2024

    • Author(s)
      Henrik Bachmann
    • Organizer
      Seminar on multiple Eisenstein series
    • Data Source
      KAKENHI-PROJECT-23K03030
  • [Presentation] q-analogues of multiple zeta values and polynomial functions on partitions2024

    • Author(s)
      Henrik Bachmann
    • Organizer
      q級数とその周辺, Osaka Institute of Technology
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03030
  • [Presentation] Finite multiple zeta values and their variants2024

    • Author(s)
      Henrik Bachmann
    • Organizer
      Beyond multiple zeta values
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03030
  • [Presentation] Formal multiple zeta values and their variants2024

    • Author(s)
      Henrik Bachmann
    • Organizer
      多重zeta值与L-函数相关领域 研讨会 2024
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03030
  • [Presentation] Formal multiple Eisenstein series and their derivations2023

    • Author(s)
      Henrik Bachmann
    • Organizer
      Algebraic Number Theory and Related Topics 2023, RIMS, Kyoto
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03030
  • [Presentation] Formalization of multiple Eisenstein series2023

    • Author(s)
      Henrik Bachmann
    • Organizer
      Lecture series at Kyushu University
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03030
  • [Presentation] The zoo of multiple Eisenstein series2022

    • Author(s)
      Henrik Bachmann
    • Organizer
      多重ゼータ値の諸相
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K13771
  • [Presentation] Polynomial functions on partitions2022

    • Author(s)
      Henrik Bachmann
    • Organizer
      Kyushu University Lecture series
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14499
  • [Presentation] Combinatorial multiple Eisenstein series2022

    • Author(s)
      Henrik Bachmann
    • Organizer
      Kyushu University Lecture series
    • Data Source
      KAKENHI-PROJECT-21K13771
  • [Presentation] Connecting modular forms and multiple zeta values via combinatorial multiple Eisenstein series.2022

    • Author(s)
      Henrik Bachmann
    • Organizer
      Seminar arithmetische Geometrie und Zahlentheorie, Hamburg
    • Data Source
      KAKENHI-PROJECT-19K14499
  • [Presentation] Formal multiple Eisenstein serie2021

    • Author(s)
      Henrik Bachmann
    • Organizer
      Seminar arithmetische Geometrie und Zahlentheorie, Hamburg
    • Data Source
      KAKENHI-PROJECT-21K13771
  • [Presentation] Formal quasi-modular forms2021

    • Author(s)
      Henrik Bachmann
    • Organizer
      2021 Waseda number theory Conference
    • Data Source
      KAKENHI-PROJECT-19K14499
  • [Presentation] 関西多重ゼータ研究会第54回2021

    • Author(s)
      Henrik Bachmann
    • Organizer
      Formal multiple Eisenstein series and formal multiple zeta values
    • Data Source
      KAKENHI-PROJECT-21K13771
  • [Presentation] Multiple Eisenstein series and their Fourier coefficients2020

    • Author(s)
      Henrik Bachmann
    • Organizer
      九大多重ゼータセミナー予定
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14499
  • [Presentation] Combinatorial multiple Eisenstein series2020

    • Author(s)
      Henrik Bachmann
    • Organizer
      第13回多重ゼータ研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14499
  • [Presentation] q-double zeta values and modular forms2020

    • Author(s)
      Henrik Bachmann
    • Organizer
      Japan-Taiwan joint workshop on multiple zeta values
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14499
  • [Presentation] A variant of the double shuffle relations and quasi modular forms2020

    • Author(s)
      Henrik Bachmann
    • Organizer
      ACPMS Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14499
  • [Presentation] 有限多重調和q級数の1のベキ根での値と有限および対称多重ゼータ値2019

    • Author(s)
      Henrik Bachmann
    • Organizer
      日本数学会2019年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-19K14499
  • 1.  TAKEYAMA Yoshihiro
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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