Character sums and primitive roots in finite fields

DOI10.1007/BF02843959zbMath0119.04302OpenAlexW2023944795MaRDI QIDQ2626302

D. J. Lewis, Harold Davenport

Publication date: 1963

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02843959

zbMATH Keywords

number theory

Related Items (23)

Character sums, primitive elements, and powers in finite fields ⋮ Normality of the Thue-Morse function for finite fields along polynomial values ⋮ Burgess inequality in \(\mathbb F_{p^2}\) ⋮ Character sums over affine spaces and applications ⋮ Singular Gauss sums, Polya-Vinogradov inequality for \(\mathrm{GL}(2)\) and growth of primitive elements ⋮ Estimates for character sums in finite fields of order \(p^2\) and \(p^3\) ⋮ A note on primitive roots in finite fields ⋮ On the pseudo-randomness of subsets related to primitive roots ⋮ Burgess bounds for short character sums evaluated at forms ⋮ Prescribing the binary digits of squarefree numbers and quadratic residues ⋮ On the distribution of points in orbits of \(\text{PGL}(2,q)\) acting on \(\text{GF}(q^{n})\). ⋮ Estimates of character sums in finite fields ⋮ Some multiplicative equations in finite fields ⋮ On finite pseudorandom binary lattices ⋮ On a question of Davenport and Lewis and new character sum bounds in finite fields ⋮ Searching for Primitive Roots in Finite Fields ⋮ Construction of pseudorandom binary lattices by using the multiplicative inverse ⋮ Character sums in algebraic number fields ⋮ On finite pseudorandom lattices of \(k\) symbols ⋮ Incomplete sums, DC-constrained codes, and codes that maintain synchronization ⋮ On superorthogonality ⋮ On the distribution of powers in finite fields ⋮ Character sums and primitive roots in algebraic number fields

Cites Work

• On Character Sums and Primitive Roots^†

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