DISTRIBUTION OF PRIMITIVE ROOTS IN A FINITE FIELD
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Publication:5821513
DOI10.1093/qmath/4.1.4zbMath0052.03803OpenAlexW2017908451MaRDI QIDQ5821513
Publication date: 1953
Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/qmath/4.1.4
Finite fields and commutative rings (number-theoretic aspects) (11T99) Distribution of integers in special residue classes (11N69) Power residues, reciprocity (11A15)
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A recurrent construction of irreducible polynomials of fixed degree over finite fields ⋮ Existence results for primitive elements in cubic and quartic extensions of a finite field ⋮ Character sums over affine spaces and applications ⋮ Biquadratic residues and self-orthogonal 2-sequencings ⋮ On the distribution of primitive roots and Lehmer numbers ⋮ On the distribution of points in orbits of \(\text{PGL}(2,q)\) acting on \(\text{GF}(q^{n})\). ⋮ Primitive semifields of order \(2^{4e}\) ⋮ FINITE FIELD EXTENSIONS WITH THE LINE OR TRANSLATE PROPERTY FOR -PRIMITIVE ELEMENTS ⋮ Searching for Primitive Roots in Finite Fields ⋮ On the primitivity of four-dimensional finite semifields ⋮ The translate and line properties for 2-primitive elements in quadratic extensions ⋮ Consecutive Primitive Roots in a Finite Field
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