A new proof of Carlitz-Wan conjecture on exceptional polynomials
Yilong Hu, Zhiyao Zhang
TL;DR
This paper presents a new, more intuitive proof of Carlitz-Wan's conjecture on exceptional polynomials, offering fresh insights into their study and building on previous work by Lenstra.
Contribution
The paper introduces a natural and intuitive proof of Carlitz-Wan's conjecture, enhancing understanding of exceptional polynomials.
Findings
New proof of Carlitz-Wan conjecture
Provides deeper insights into exceptional polynomials
Builds on and simplifies previous proof by Lenstra
Abstract
We give a new proof of Carlitz-Wan's conjecture, previously proved by Lenstra (1995).Our proofs are natural and intuitive, and shed new insights into the study of exceptional polynomials.
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Taxonomy
TopicsMeromorphic and Entire Functions · Geometry and complex manifolds · Advanced Combinatorial Mathematics