Subgroups generated by rational functions in finite fields

Domingo Gómez-Pérez*, Igor E. Shparlinski

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


For a large prime p, a rational function (Formula presented.) over the finite field (Formula presented.) of p elements, and integers u and H≥1, we obtain a lower bound on the number consecutive values (Formula presented.) that belong to a given multiplicative subgroup of (Formula presented.).

Original languageEnglish
Pages (from-to)241-253
Number of pages13
JournalMonatshefte fur Mathematik
Issue number2
Publication statusPublished - Feb 2015
Externally publishedYes


  • Finite fields
  • Multiplicative subgroups
  • Polynomial congruences
  • Value sets of polynomials


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