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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Permutation polynomials and resolution of singularities over finite fields
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by Da Qing Wan PDF
Proc. Amer. Math. Soc. 110 (1990), 303-309 Request permission

Abstract:

A geometric approach is introduced to study permutation polynomials over a finite field. As an application, we prove that there are no permutation polynomials of degree $2l$ over a large finite field, where $l$ is an odd prime. This proves that the Carlitz conjecture is true for $n = 2l$. Previously, the conjecture was known to be true only for $n \leq 16$.
References
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 110 (1990), 303-309
  • MSC: Primary 11T06
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1031673-4
  • MathSciNet review: 1031673