2 citations · 2 across the 7 of their papers we have counts for
8 papers
MathCoPilot: An Interactive System for Human-AI Symbiotic Paradigm of Mathematical Research
Junjie Zhang, Jiayu Liu, Wenbin Liu +11
Existing LLM-based theorem provers have achieved impressive results on formal mathematics benchmarks, yet they remain confined to acting as autonomous agents that prove a stated pr…
Mod non-vanishing of self-dual Hecke -values over CM fields and applications
Ashay Burungale, Wei He, Ye Tian +1
Let be a self-dual Hecke character over a CM field . Let be a degree one prime of the maximal totally real subfield of and the Galo…
On systems disjoint from all minimal systems
Wen Huang, Song Shao, Hui Xu +1
Recently, Górska, Lemańczyk, and de la Rue characterized the class of automorphisms disjoint from all ergodic automorphisms. Inspired by their work, we provide several characteriza…
Completely Li--Yorke chaotic homeomorphisms with positive entropy
Zijie Lin, Xiangdong Ye
It is an open problem whether a homeomorphism on a compact metric space satisfying that each proper pair is either positively or negatively Li--Yorke, called completely Li--Yorke c…
Veech's theorem of higher order
Jiahao Qiu, Xiangdong Ye
For an abelian group , and , let . In this paper, it is shown that…
Multiple recurrence without commutativity
Wen Huang, Song Shao, Xiangdong Ye
We study multiple recurrence without commutativity in this paper. We show that for any two homeomorphisms with and being minimal, there is a r…
A counterexample on multiple convergence without commutativity
Wen Huang, Song Shao, Xiangdong Ye
It is shown that there exist a probability space , two ergodic measure preserving transformations acting on with $h_μ(X,T)=h_μ(X,S)=0…
A refined saturation theorem for polynomials and applications
Xiangdong Ye, Jiaqi Yu
For a dynamical system , and distinct non-constant integral polynomials vanishing at , the notion of regionally proximal relation along…