On Eisenstein polynomials and zeta polynomials II
Combinatorics
2020-02-27 v4 Group Theory
Number Theory
Abstract
Eisenstein polynomials, which were defined by the second author, are analogues of the concept of an Eisenstein series. The second author conjectured that there exist some analogous properties between Eisenstein series and Eisenstein polynomials. In the previous paper, the first author provided new analogous properties of Eisenstein polynomials and zeta polynomials for the Type II case. In this paper, the analogous properties of Eisenstein polynomials and zeta polynomials are shown to also hold for the Type I, Type III, and Type IV cases. These properties are finite analogies of certain properties of Eisenstein series.
Cite
@article{arxiv.1903.03281,
title = {On Eisenstein polynomials and zeta polynomials II},
author = {Tsuyoshi Miezaki and Manabu Oura},
journal= {arXiv preprint arXiv:1903.03281},
year = {2020}
}
Comments
16 pages