3 papers
math.QA2026
Three approaches to the Howe duality between quantum general linear supergroups
Li Luo, Xirui Yu, Zhongguo Zhou
The Howe duality between quantum general linear supergroups was firstly established by Y. Zhang via quantum coordinate superalgebras. In this paper, we provide two other approaches…
math.NT2025
The inter-universal Teichmüller theory and new Diophantine results over rational numbers. II
Zhong-Peng Zhou
[This is an older version of the paper, which will be updated soon.] In the present paper, we continue our research on the generalized Fermat equation with signat…
math.NT2025
The inter-universal Teichmüller theory and new Diophantine results over the rational numbers. I
Zhong-Peng Zhou
By applying inter-universal Teichmüller theory and its slight modification over the rational number field, we prove new Diophantine results towards effective abc inequalities and…