Répartition des fonctions complètement $Q$-additives le long des carrés de polynômes sur un corps fini

DOI10.24033/bsmf.2728zbMath1378.11086OpenAlexW2980601194MaRDI QIDQ2954321

Mireille Car, Christian Mauduit

Publication date: 12 January 2017

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/Publications/Bulletin/144/html/smf_bull_144_775-817.php

zbMATH Keywords

exponential sumspolynomials over a finite field\(\mathbb{Q}\)-additive functions

Mathematics Subject Classification ID

Exponential sums (11T23) Arithmetic theory of polynomial rings over finite fields (11T55) Arithmetic functions in probabilistic number theory (11K65) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (2)

Fonctions complètement $Q$-additives le long des polynômes irréductibles à coefficients dans un corps fini ⋮ Weight of irreducible polynomials with coefficients in a finite field

Cites Work

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• The sum of digits of squares
• Quadratic forms on \(\mathbb{F}_ q[T\)]
• Prime numbers along Rudin-Shapiro sequences
• Weyl sums in \(\mathbb F_q[x\) with digital restrictions]
• On a problem of Gelfond: the sum of digits of prime numbers
• On the joint distribution of \(q\)-additive functions in residue classes
• Generalized Thue-Morse sequences of squares
• Distribution of the values of \(q\)-additive functions on polynomial sequences
• The joint distribution of \(Q\)-additive functions on polynomials over finite fields
• The joint distribution of q-additive functions
• Théorème des nombres premiers pour les fonctions digitales
• Subsequences of automatic sequences and uniform distribution
• Primes with an average sum of digits
• Fonctions digitales le long des nombres premiers
• The expression of a polynomial as a sum of three irreducibles
• Diophantine Approximation in Fields of Characteristic p

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