研究紀錄

論文與預印本

論文與預印本的完整列表

稿件類型

期刊論文

2026

正特徵的 $u$ -多重 zeta 值

崔鴻竣

International Mathematics Research Notices (IMRN) 2026 (2026)，第 20，rnag233。

Journal ArXiv PDF

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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.

稿件類型

預印本

2026

$v$ -進 Carlitz 多重對數函數與 $v$ -進多重 zeta 值的分次結構

崔鴻竣

arXiv：2610.25063。

ArXiv PDF

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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

正特徵多重 zeta 值：Kaneko-Zagier 型猜想

崔鴻竣

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

$\infty$ -進多重 zeta 值餘作用的 Mishiba 猜想

崔鴻竣

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

正特徵上的多重 Eisenstein 級數：直和定理

張介玉, 陳松筠, 黃斐浚, 崔鴻竣

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

正特徵多重 Eisenstein 級數的代數結構

張庭瑋, 陳松筠, 黃斐浚, 崔鴻竣

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

正特徵任意秩多重 Eisenstein 級數的 $q$ -洗牌關係

張庭瑋, 陳松筠, 黃斐浚, 崔鴻竣

arXiv：2504.18879。

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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

函數體上 Gross–Koblitz 型公式中 $v$ -進 Gamma 函數的唯一性

張庭瑋, 崔鴻竣

arXiv：2504.15697。

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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).

論文與預印本

期刊論文

正特徵的 u-多重 zeta 值

預印本

v-進 Carlitz 多重對數函數與 v-進多重 zeta 值的分次結構

正特徵多重 zeta 值：Kaneko-Zagier 型猜想

∞-進多重 zeta 值餘作用的 Mishiba 猜想

正特徵上的多重 Eisenstein 級數：直和定理

正特徵多重 Eisenstein 級數的代數結構

正特徵任意秩多重 Eisenstein 級數的 q-洗牌關係

函數體上 Gross–Koblitz 型公式中 v-進 Gamma 函數的唯一性

正特徵的 $u$ -多重 zeta 值

$v$ -進 Carlitz 多重對數函數與 $v$ -進多重 zeta 值的分次結構

$\infty$ -進多重 zeta 值餘作用的 Mishiba 猜想

正特徵任意秩多重 Eisenstein 級數的 $q$ -洗牌關係

函數體上 Gross–Koblitz 型公式中 $v$ -進 Gamma 函數的唯一性