Consecutive Primitive Roots in a Finite Field

DOI10.2307/2044741zbMath0561.10021OpenAlexW4240334316MaRDI QIDQ5184979

Stephen D. Cohen

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044741

zbMATH Keywords

finite fieldsprimitive rootssum of two primitive roots

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 (22)

Existence of some special primitive normal elements over finite fields ⋮ Pairs of primitive roots ⋮ Consecutive quadratic residues and primitive roots in the sequences formed by twice-differentiable functions ⋮ Four consecutive primitive elementsin a finite field ⋮ Biquadratic residues and self-orthogonal 2-sequencings ⋮ Existence of pair of primitive elements over finite fields of characteristic 2 ⋮ Pairs of primitive elements in fields of even order ⋮ Primitive normal values of rational functions over finite fields ⋮ On the distribution of primitive roots and Lehmer numbers ⋮ r -primitive k -normal elements in arithmetic progressions over finite fields ⋮ On primitive normal elements over finite fields ⋮ Primitive values of rational functions at primitive elements of a finite field ⋮ Unnamed Item ⋮ Consecutive Primitive Roots in a Finite Field. II ⋮ Pair of primitive elements with prescribed traces over finite fields ⋮ On special pairs of primitive elements over a finite field ⋮ Primitive element pairs with one prescribed trace over a finite field ⋮ On Golomb's conjecture ⋮ Primitive normal pairs with prescribed norm and trace ⋮ Existence of primitive pairs with prescribed traces over finite fields ⋮ On consecutive primitive elements in a finite field ⋮ On the existence of pairs of primitive normal elements over finite fields

Cites Work

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• A note on the distribution of the primitive roots of a prime
• Primitive Roots in the Quadratic Extension of a Finite Field
• Pairs of Consecutive Primitive Roots Modulo a Prime
• DISTRIBUTION OF PRIMITIVE ROOTS IN A FINITE FIELD

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