On consecutive primitive elements in a finite field

DOI10.1112/blms/bdv018zbMath1369.11095arXiv1410.6210OpenAlexW3100852909MaRDI QIDQ5255533

Tim Trudgian, Tomás Oliveira e Silva, Stephen D. Cohen

Publication date: 15 June 2015

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6210

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 (8)

Four consecutive primitive elementsin a finite field ⋮ GENERATORS OF FINITE FIELDS WITH PRESCRIBED TRACES ⋮ On arithmetic progressions in finite fields ⋮ r -primitive k -normal elements in arithmetic progressions over finite fields ⋮ On additive decompositions of primitive elements in finite fields ⋮ Quadratic non-residues that are not primitive roots ⋮ On primitive elements of finite fields avoiding affine hyperplanes ⋮ Existence results on \(k\)-normal elements over finite fields

Cites Work

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• Distribution of residues and primitive roots
• A note on Weil's multiplicative character sum
• Consecutive Primitive Roots in a Finite Field. II
• Pairs of primitive roots
• Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
• Consecutive Primitive Roots in a Finite Field

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