A Weil-bound free proof of Schur's conjecture

DOI10.1006/ffta.1996.0170zbMath0904.11040OpenAlexW2031968110WikidataQ123333604 ScholiaQ123333604MaRDI QIDQ1266431

Peter Müller

Publication date: 19 January 1999

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/531d6f4f420aa9953c16f24cf964ad362027579e

zbMATH Keywords

finite fieldpermutation polynomialSchur's conjecture

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20)

Related Items (9)

Bivariate polynomial mappings associated with simple complex Lie algebras ⋮ Low-degree permutation rational functions over finite fields ⋮ Exceptional polynomials of affine type ⋮ On the Galois groups of some recursive polynomials ⋮ On a generalization of planar functions ⋮ On inverses of permutation polynomials of the form \(x(x^s-a)^{(q^m-1)/s}\) over \(\mathbb{F}_{q^n}\) ⋮ Exceptional polynomials with 2-transitive affine monodromy groups ⋮ A classification of permutation polynomials of degree 7 over finite fields ⋮ Planar functions and perfect nonlinear monomials over finite fields

Cites Work

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• Algebraic function fields and codes
• Schur covers and Carlitz's conjecture
• Bounds for fixed point free elements in a transitive group and applications to curves over finite fields
• On a conjecture of Schur
• The Modular Permutation Representations of the Known Doubly Transitive Groups

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