English

Counting Eisenstein polynomials satisfying a condition from genus theory

Number Theory 2023-07-28 v1

Abstract

We give an asymptotic formula for the number of monic Eisenstein polynomials of odd prime degree satisfying an additional condition that arises in the study of the genus number of an algebraic number field.

Keywords

Cite

@article{arxiv.2307.14488,
  title  = {Counting Eisenstein polynomials satisfying a condition from genus theory},
  author = {Jongwoo Choi and Kevin J. McGown},
  journal= {arXiv preprint arXiv:2307.14488},
  year   = {2023}
}
R2 v1 2026-06-28T11:41:14.583Z