The sum of digits function in finite fields-Reference-Cited by-同舟云学术

The sum of digits function in finite fields

Published:2013-08-08 Issue:12 Volume:141 Page:4119-4124
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

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

Link

http://www.ams.org/proc/2013-141-12/S0002-9939-2013-11801-0/S0002-9939-2013-11801-0.pdf

Reference14 articles.

1. Character sums over integers with restricted 𝑔-ary digits;Banks, William D.;Illinois J. Math.,2002

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

3. Sommes des chiffres de multiples d’entiers;Dartyge, Cécile;Ann. Inst. Fourier (Grenoble),2005

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

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The sum-of-digits function in rings of residue classes;Periodica Mathematica Hungarica;2024-07-02

2. Character sums over sparse elements of finite fields;Bulletin of the London Mathematical Society;2024-02-27

3. Character sums over affine spaces and applications;Finite Fields and Their Applications;2022-10

4. Normality of the Thue–Morse function for finite fields along polynomial values;Research in Number Theory;2022-06-12

5. Pseudorandom sequences derived from automatic sequences;Cryptography and Communications;2022-04-19