English

On Eisenstein polynomials and zeta polynomials

Combinatorics 2020-02-27 v3 Number Theory

Abstract

Eisenstein polynomials, which were defined by Oura, are analogues of the concept of an Eisenstein series. Oura conjectured that there exist some analogous properties between Eisenstein series and Eisenstein polynomials. In this paper, we provide new analogous properties of Eisenstein polynomials and zeta polynomials. These properties are finite analogies of certain properties of Eisenstein series.

Keywords

Cite

@article{arxiv.1807.02744,
  title  = {On Eisenstein polynomials and zeta polynomials},
  author = {Tsuyoshi Miezaki},
  journal= {arXiv preprint arXiv:1807.02744},
  year   = {2020}
}

Comments

11 pages

R2 v1 2026-06-23T02:53:49.335Z