English

Cyclotomic coefficients: gaps and jumps

Number Theory 2020-08-27 v1

Abstract

We improve several recent results by Hong, Lee, Lee and Park (2012) on gaps and Bzd\c{e}ga (2014) on jumps amongst the coefficients of cyclotomic polynomials. Besides direct improvements, we also introduce several new techniques that have never been used in this area.

Cite

@article{arxiv.1507.07098,
  title  = {Cyclotomic coefficients: gaps and jumps},
  author = {Oana-Maria Camburu and Emil-Alexandru Ciolan and Florian Luca and Pieter Moree and Igor E. Shparlinski},
  journal= {arXiv preprint arXiv:1507.07098},
  year   = {2020}
}

Comments

25 pages

R2 v1 2026-06-22T10:18:33.897Z