Polynomial values and generators with missing digits in finite fields

DOI10.7169/facm/2015.52.1.5zbMath1321.11012OpenAlexW1977598163MaRDI QIDQ2339948

Christian Mauduit, András Sárközy, Cécile Dartyge

Publication date: 14 April 2015

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1426857035

zbMATH Keywords

generatorsfinite fieldspolynomialsprimitive rootscharacter sumssquaresdigits properties

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Exponential sums and character sums (11L99)

Related Items (14)

Normality of the Thue-Morse function for finite fields along polynomial values ⋮ Pseudorandom sequences derived from automatic sequences ⋮ On the squares in the set of elements of a finite field with constraints on the coefficients of its basis expansion ⋮ Character sums over sparse elements of finite fields ⋮ Prescribing the binary digits of squarefree numbers and quadratic residues ⋮ Irreducible Polynomials Over a Finite Field with Restricted Coefficients ⋮ Arithmetic constraints of polynomial maps through discrete logarithms ⋮ On primitive elements of finite fields avoiding affine hyperplanes ⋮ On the distribution of the Rudin-Shapiro function for finite fields ⋮ Trace of products in finite fields ⋮ Prescribing digits in finite fields ⋮ On the sum of digits of special sequences in finite fields ⋮ О квадратах во множестве элементов конечного поля с ограничениями на коэффициенты при разложении по базису ⋮ Trace of Products in Finite Fields from a Combinatorial Point of View

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