English

Zeros of Fekete polynomials

Number Theory 2016-09-07 v1

Abstract

The authors study the distribution of zeros of the Fekete polynomial f_p(t) (defined for p prime) as p -> infinity. They show that asymptotically a constant fraction of the zeros lie on the unit circle, and they investigate the constant of proportionality.

Keywords

Cite

@article{arxiv.math/9906214,
  title  = {Zeros of Fekete polynomials},
  author = {J. Brian Conrey and Andrew Granville and Bjorn Poonen and K. Soundararajan},
  journal= {arXiv preprint arXiv:math/9906214},
  year   = {2016}
}

Comments

Abstract added in migration

R2 v1 2026-07-22T18:03:38.909Z