Abstract
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 language | English |
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Pages (from-to) | 132-142 |
Number of pages | 11 |
Journal | Journal of Approximation Theory |
Volume | 222 |
DOIs | |
Publication status | Published - 1 Oct 2017 |
Externally published | Yes |
Keywords
- Algebraic function
- Fekete polynomial
- Legendre symbol
- Polynomial recurrences