The sum of digits function in finite fields

Cécile Dartyge, A. Sárközy

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We define and study certain sum of digits functions in the context of finite fields. We give the number of polynomial values of Fq with a fixed sum of digits. We also state a result for the sum of digits of polynomial values with generator arguments.

Original languageEnglish
Pages (from-to)4119-4124
Number of pages6
JournalProceedings of the American Mathematical Society
Volume141
Issue number12
DOIs
Publication statusPublished - 2013

Fingerprint

Digit
Galois field
Polynomials
Polynomial
Generator

Keywords

  • Character sums
  • Finite fields
  • Generators
  • Primitive elements
  • Sum of digits function

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

The sum of digits function in finite fields. / Dartyge, Cécile; Sárközy, A.

In: Proceedings of the American Mathematical Society, Vol. 141, No. 12, 2013, p. 4119-4124.

Research output: Contribution to journalArticle

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