English

A new proof of Carlitz-Wan conjecture on exceptional polynomials

Number Theory 2026-03-03 v2

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.

Keywords

Cite

@article{arxiv.2602.19779,
  title  = {A new proof of Carlitz-Wan conjecture on exceptional polynomials},
  author = {Yilong Hu and Zhiyao Zhang},
  journal= {arXiv preprint arXiv:2602.19779},
  year   = {2026}
}

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6 pages