Four consecutive primitive elementsin a finite field

DOI10.1090/MCOM/3716OpenAlexW4200042970MaRDI QIDQ5070552

Tim Trudgian, Tamiru Jarso

Publication date: 13 April 2022

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.11691

zbMATH Keywords

finite fieldsprimitive elementscomputational verificationsconsecutive primitive elements

Mathematics Subject Classification ID

Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Distribution of integers in special residue classes (11N69)

Related Items (3)

On arithmetic progressions in finite fields ⋮ r -primitive k -normal elements in arithmetic progressions over finite fields ⋮ Primitive elements with prescribed traces

Uses Software

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Cites Work

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• On consecutive quadratic non-residues: a conjecture of Issai Schur.
• Resolving Grosswald's conjecture on GRH
• Consecutive Primitive Roots in a Finite Field. II
• Pairs of primitive roots
• Quadratic non-residues that are not primitive roots
• A Note on Dirichlet Characters
• Consecutive Primitive Roots in a Finite Field
• On consecutive primitive elements in a finite field
• Pairs of Consecutive Primitive Roots Modulo a Prime

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