English

Rational 2-functions are abelian

Number Theory 2021-03-10 v2

Abstract

We show that the coefficients of rational 2-functions are contained in an abelian number field. More precisely, we show that the poles of such functions are poles of order one and given by roots of unity and rational residue.

Keywords

Cite

@article{arxiv.2006.06388,
  title  = {Rational 2-functions are abelian},
  author = {Felipe Müller},
  journal= {arXiv preprint arXiv:2006.06388},
  year   = {2021}
}
R2 v1 2026-06-23T16:14:08.674Z