The sum of digits function in finite fields

DOI10.1090/S0002-9939-2013-11801-0zbMath1354.11010OpenAlexW2000146132MaRDI QIDQ2855890

András Sárközy, Cécile Dartyge

Publication date: 23 October 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11801-0

zbMATH Keywords

generatorsfinite fieldsprimitive elementscharacter sumssum of digits function

Mathematics Subject Classification ID

Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Radix representation; digital problems (11A63)

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 affine spaces and applications ⋮ Character sums over sparse elements of finite fields ⋮ 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 ⋮ Polynomial values and generators with missing digits in finite fields

Cites Work

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• Sums of digits of multiples of integers
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• Character sums over integers with restricted \(g\)-ary digits
• Sums of digits and almost primes
• On additive decompositions of the set of primitive roots modulo \(p\)
• The sum of digits of polynomial values in arithmetic progressions
• Méthodes de crible et fonctions sommes des chiffres
• CONGRUENCES DE SOMMES DE CHIFFRES DE VALEURS POLYNOMIALES
• On the arithmetic structure of the integers whose sum of digits is fixed
• The sum-of-digits function of polynomial sequences
• Sur les nombres qui ont des propriétés additives et multiplicatives données

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