3 papers
math.DG2026
Reduction of Zieve's Conjecture on the Hurwitz problem to Three Branch Points
Xitaiyu Liu, Tianyang Sun, Bin Xu +2
M. E. Zieve conjectured that a candidate datum over the sphere is realizable whenever the gcd of the parts of every branch partition is one and it satisfies the lcm condition. We p…
cs.AI2026
How Well Do LLMs Perform on the Simplest Long-Chain Reasoning Tasks: An Empirical Study on the Equivalence Class Problem
Chun Zheng, Lianlong Wu, Bingqian Li +2
Large Language Models (LLMs) have achieved great improvements in recent years. Nevertheless, it still remains unclear how good LLMs are for reasoning tasks, especially for long-cha…
math.GR2025
The Hurwitz existence problem and the prime-degree conjecture: A computational perspective
Yiru Wang, Bingqian Li, Yi Zhou +4
We investigate the Hurwitz existence problem from a computational viewpoint. Leveraging the symmetric-group algorithm by Zheng and building upon implementations originally develope…