Power series approximations to Fekete polynomials

Jason Bell, Igor E. Shparlinski*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We study how well Fekete polynomials Fp(X)=∑n=0p−1[Formula presented]Xn∈Z[X]with the coefficients given by Legendre symbols modulo a prime p can be approximated by power series representing algebraic functions of a given degree. We also obtain some explicit results describing polynomial recurrence relations which are satisfied by the coefficients of such algebraic functions.

Original languageEnglish
Pages (from-to)132-142
Number of pages11
JournalJournal of Approximation Theory
Publication statusPublished - 1 Oct 2017
Externally publishedYes


  • Algebraic function
  • Fekete polynomial
  • Legendre symbol
  • Polynomial recurrences


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