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Publications (10)

math.CO2026

On immanants of Cayley tables

Xuan Wang, Hanbin Zhang

Let $G$ be a finite abelian group of order $n$ and let $M_{G} = (x_{a + b})_{a, b \in G}$ be the Cayley table of $G$ . Let $imm_{I^} » (M_{G})$ be the immanant of $\mathca…

math.OA2022

On cleanness of von Neumann algebras

Lu Cui, Linzhe Huang, Wenming Wu +2

A unital ring is called clean (resp. strongly clean) if every element can be written as the sum of an invertible element and an idempotent (resp. an invertible element and an idemp…

cs.LG2026

DynSplit-KV: Dynamic Semantic Splitting for KVCache Compression in Efficient Long-Context LLM Inference

Jiancai Ye, Jun Liu, Qingchen Li +5

Although Key-Value (KV) Cache is essential for efficient large language models (LLMs) inference, its growing memory footprint in long-context scenarios poses a significant bottlene…

math.CO2022

A reciprocity on finite abelian groups involving zero-sum sequences II

Mao-Sheng Li, Hanbin Zhang

Let $G$ be a finite abelian group. For any positive integers $d$ and $m$ , let $I ¨ _{G} (d)$ be the number of elements in $G$ of order $d$ and $M (G, m)$ be the set of all zero-su…

math.CO2023

New constructions of NMDS self-dual codes

Dongchun Han, Hanbin Zhang

Near maximum distance separable (NMDS) codes are important in finite geometry and coding theory. Self-dual codes are closely related to combinatorics, lattice theory, and have impo…

math.CO2021

A reciprocity on finite abelian groups involving zero-sum sequences

Dongchun Han, Hanbin Zhang

In this paper, we present a reciprocity on finite abelian groups involving zero-sum sequences. Let $G$ and $H$ be finite abelian groups with $(∣ G ∣, ∣ H ∣) = 1$ . For any positive integer…

math.CO2018

ErdÅs-Ginzburg-Ziv theorem and Noether number for $C_{m} ⋉_{I ¨} C_{mn}$

Dongchun Han, Hanbin Zhang

Let $G$ be a multiplicative finite group and $S = a_{1} \cdot \dots \cdot a_{k}$ a sequence over $G$ . We call $S$ a product-one sequence if $1 = \prod_{i = 1}^{k} a_{I ¨ (i)}$ holds for some permut…

math.CO2026

On zero-sum polytopes: reciprocity, rigidity, and cyclic sieving

Dongchun Han, Xuan Wang, Hanbin Zhang +1

Let $G$ be a finite abelian group of order $n$ , and let $M (G, m)$ denote the set of zero-sum sequences over $G$ of length $m$ . We introduce the zero-sum polytope $\mathcal P…

math.RA2021

On $*$ -clean group rings over finite fields

Dongchun Han, Hanbin Zhang

A ring $R$ is called clean if every element of $R$ is the sum of a unit and an idempotent. Motivated by a question proposed by Lam on the cleanness of von Neumann Algebras, VaÅ¡ in…

math.CO2018

On generalized ErdÅs-Ginzburg-Ziv constants of $C_{n}^{r}$

Dongchun Han, Hanbin Zhang

Let $G$ be an additive finite abelian group with exponent $exp (G) = m$ . For any positive integer $k$ , the $k$ -th generalized ErdÅs-Ginzburg-Ziv constant $s_{k m} (G)$ is defi…

Publications (10)

On immanants of Cayley tables

On cleanness of von Neumann algebras

DynSplit-KV: Dynamic Semantic Splitting for KVCache Compression in Efficient Long-Context LLM Inference

A reciprocity on finite abelian groups involving zero-sum sequences II

New constructions of NMDS self-dual codes

A reciprocity on finite abelian groups involving zero-sum sequences

ErdÅs-Ginzburg-Ziv theorem and Noether number for Cm​⋉I¨​Cmn​

On zero-sum polytopes: reciprocity, rigidity, and cyclic sieving

On ∗-clean group rings over finite fields

On generalized ErdÅs-Ginzburg-Ziv constants of Cnr​

ErdÅs-Ginzburg-Ziv theorem and Noether number for $C_{m} ⋉_{I ¨} C_{mn}$

On $*$ -clean group rings over finite fields

On generalized ErdÅs-Ginzburg-Ziv constants of $C_{n}^{r}$