Hengyi Luo

collaborators

2 papers

math.CO2026

A Complete Proof for Tu-Deng Conjecture

Renzhang Liu, Hengyi Luo, Tianyuan Xie

Let $N = 2^{k} - 1$ and let $wt (n)$ denote the binary Hamming weight. The Tu-Deng conjecture asserts that, for every $1 \leq t \leq N - 1$ , at most $2^{k - 1}$ pairs $(a,b)\in\{0,…

math.RA2022

$λ$ -TD algebras, generalized shuffle products and left counital Hopf algebras

Hengyi Luo, Shanghua Zheng

The theory of operated algebras has played a pivotal role in mathematics and physics. In this paper, we introduce a $λ$ -TD algebra that appropriately includes both the Rota-Baxter…

A Complete Proof for Tu-Deng Conjecture

λ-TD algebras, generalized shuffle products and left counital Hopf algebras

$λ$ -TD algebras, generalized shuffle products and left counital Hopf algebras