A new proof of Carlitz-Wan conjecture on exceptional polynomials

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Yilong Hu, Zhiyao Zhang
DOI: 10.48550/arxiv.2602.19779
Cited by: 0

Abstract

We give a new proof of the Carlitz-Wan conjecture, previously proved by Lenstra (1995). The proof we present uses Weil's Conjecture for curves over finite fields and a result of Bombieri and Katz.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Analytic Number Theory Research Advanced Algebra and Geometry

Publication details

Journal / source
arXiv (Cornell University)
Publication date
23 February 2026
Language
EN
Document type
Preprint