Research record

Publications and Preprints

A complete list of current papers and preprints.

Manuscript type

Journal Articles

2026

On $u$ -Multiple Zeta Values in Positive Characteristic

Hung-Chun Tsui

International Mathematics Research Notices (IMRN) 2026 (2026), no. 20, rnag233.

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@article{T26a,
  title = {On $u$-Multiple Zeta Values in Positive Characteristic},
  author = {Hung-Chun Tsui},
  journal = {International Mathematics Research Notices},
  date = {2026},
  volume = {2026},
  number = {20},
  eid = {rnag233},
  doi = {10.1093/imrn/rnag233}
}

\bibitem{T26a} Hung-Chun Tsui, \emph{On $u$-Multiple Zeta Values in Positive Characteristic}, \textbf{International Mathematics Research Notices (IMRN)} 2026 (2026), no. 20, rnag233, doi: 10.1093/imrn/rnag233.

Manuscript type

Preprints

2026

Graded Structures of $v$ -adic Carlitz Multiple Polylogarithms and $v$ -adic Multiple Zeta Values

Hung-Chun Tsui

arXiv: 2610.25063.

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@online{T26d,
  title = {Graded Structures of $v$-adic Carlitz Multiple Polylogarithms and $v$-adic Multiple Zeta Values},
  author = {Hung-Chun Tsui},
  date = {2026},
  eprint = {2610.25063},
  eprinttype = {arxiv}
}

\bibitem{T26d} Hung-Chun Tsui, \emph{Graded Structures of $v$-adic Carlitz Multiple Polylogarithms and $v$-adic Multiple Zeta Values}, arXiv:2610.25063, (2026).

2026

Multiple Zeta Values in Positive Characteristic: A Kaneko-Zagier-Type Conjecture

Hung-Chun Tsui

arXiv: 2609.37450.

ArXiv PDF

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@online{T26c,
  title = {Multiple Zeta Values in Positive Characteristic: A Kaneko-Zagier-Type Conjecture},
  author = {Hung-Chun Tsui},
  date = {2026},
  eprint = {2609.37450},
  eprinttype = {arxiv}
}

\bibitem{T26c} Hung-Chun Tsui, \emph{Multiple Zeta Values in Positive Characteristic: A Kaneko-Zagier-Type Conjecture}, arXiv:2609.37450, (2026).

2026

Mishiba's Conjecture on the Coaction of $\infty$ -adic Multiple Zeta Values

Hung-Chun Tsui

arXiv: 2609.30823.

ArXiv PDF

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@online{T26b,
  title = {Mishiba's Conjecture on the Coaction of $\infty$-adic Multiple Zeta Values},
  author = {Hung-Chun Tsui},
  date = {2026},
  eprint = {2609.30823},
  eprinttype = {arxiv}
}

\bibitem{T26b} Hung-Chun Tsui, \emph{Mishiba's Conjecture on the Coaction of $\infty$-adic Multiple Zeta Values}, arXiv:2609.30823, (2026).

2026

On Multiple Eisenstein Series in Positive Characteristic: Direct Sum Result

Chieh-Yu Chang, Song-Yun Chen, Fei-Jun Huang, and Hung-Chun Tsui

arXiv: 2609.18777.

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@online{CCHT26b,
  title = {On Multiple Eisenstein Series in Positive Characteristic: Direct Sum Result},
  author = {Chieh-Yu Chang and Song-Yun Chen and Fei-Jun Huang and Hung-Chun Tsui},
  date = {2026},
  eprint = {2609.18777},
  eprinttype = {arxiv}
}

\bibitem{CCHT26b} Chieh-Yu Chang, Song-Yun Chen, Fei-Jun Huang, and Hung-Chun Tsui, \emph{On Multiple Eisenstein Series in Positive Characteristic: Direct Sum Result}, arXiv:2609.18777, (2026).

2026

Algebra Structures of Multiple Eisenstein Series in Positive Characteristic

Ting-Wei Chang, Song-Yun Chen, Fei-Jun Huang, and Hung-Chun Tsui

arXiv: 2603.10376.

ArXiv PDF

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@online{CCHT26a,
  title = {Algebra Structures of Multiple Eisenstein Series in Positive Characteristic},
  author = {Ting-Wei Chang and Song-Yun Chen and Fei-Jun Huang and Hung-Chun Tsui},
  date = {2026},
  eprint = {2603.10376},
  eprinttype = {arxiv}
}

\bibitem{CCHT26a} Ting-Wei Chang, Song-Yun Chen, Fei-Jun Huang, and Hung-Chun Tsui, \emph{Algebra Structures of Multiple Eisenstein Series in Positive Characteristic}, arXiv:2603.10376, (2026).

2025

On $q$ -Shuffle Relations for Multiple Eisenstein Series of Arbitrary Rank in Positive Characteristic

Ting-Wei Chang, Song-Yun Chen, Fei-Jun Huang, and Hung-Chun Tsui

arXiv: 2504.18879.

ArXiv PDF

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@online{CCHT25,
  title = {On $q$-Shuffle Relations for Multiple Eisenstein Series of Arbitrary Rank in Positive Characteristic},
  author = {Ting-Wei Chang and Song-Yun Chen and Fei-Jun Huang and Hung-Chun Tsui},
  date = {2025},
  eprint = {2504.18879},
  eprinttype = {arxiv}
}

\bibitem{CCHT25} Ting-Wei Chang, Song-Yun Chen, Fei-Jun Huang, and Hung-Chun Tsui, \emph{On $q$-Shuffle Relations for Multiple Eisenstein Series of Arbitrary Rank in Positive Characteristic}, arXiv:2504.18879, (2025).

2025

Uniqueness of $v$ -adic Gamma Functions in Gross–Koblitz-Type Formulas over Function Fields

Ting-Wei Chang and Hung-Chun Tsui

arXiv: 2504.15697.

ArXiv PDF

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@online{CT25,
  title = {Uniqueness of $v$-adic Gamma Functions in Gross–Koblitz-Type Formulas over Function Fields},
  author = {Ting-Wei Chang and Hung-Chun Tsui},
  date = {2025},
  eprint = {2504.15697},
  eprinttype = {arxiv}
}

\bibitem{CT25} Ting-Wei Chang and Hung-Chun Tsui, \emph{Uniqueness of $v$-adic Gamma Functions in Gross–Koblitz-Type Formulas over Function Fields}, arXiv:2504.15697, (2025).

Publications and Preprints

Journal Articles

On u-Multiple Zeta Values in Positive Characteristic

Preprints

Graded Structures of v-adic Carlitz Multiple Polylogarithms and v-adic Multiple Zeta Values

Multiple Zeta Values in Positive Characteristic: A Kaneko-Zagier-Type Conjecture

Mishiba's Conjecture on the Coaction of ∞-adic Multiple Zeta Values

On Multiple Eisenstein Series in Positive Characteristic: Direct Sum Result

Algebra Structures of Multiple Eisenstein Series in Positive Characteristic

On q-Shuffle Relations for Multiple Eisenstein Series of Arbitrary Rank in Positive Characteristic

Uniqueness of v-adic Gamma Functions in Gross–Koblitz-Type Formulas over Function Fields

On $u$ -Multiple Zeta Values in Positive Characteristic

Graded Structures of $v$ -adic Carlitz Multiple Polylogarithms and $v$ -adic Multiple Zeta Values

Mishiba's Conjecture on the Coaction of $\infty$ -adic Multiple Zeta Values

On $q$ -Shuffle Relations for Multiple Eisenstein Series of Arbitrary Rank in Positive Characteristic

Uniqueness of $v$ -adic Gamma Functions in Gross–Koblitz-Type Formulas over Function Fields