The sum of digits function in finite fields

Author:

Dartyge Cécile,Sárközy András

Abstract

We define and study certain sum of digits functions in the context of finite fields. We give the number of polynomial values of F q \mathbb {F}_q with a fixed sum of digits. We also state a result for the sum of digits of polynomial values with generator arguments.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

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2. On additive decompositions of the set of primitive roots modulo 𝑝;Dartyge, Cécile;Monatsh. Math.,2013

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4. Congruences de sommes de chiffres de valeurs polynomiales;Dartyge, Cécile;Bull. London Math. Soc.,2006

5. The sum-of-digits function of polynomial sequences;Drmota, Michael;J. Lond. Math. Soc. (2),2011

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