On Eisenstein polynomials and zeta polynomials II

Tsuyoshi Miezaki, Manabu Oura

Research output: Contribution to journalArticlepeer-review

Abstract

Eisenstein polynomials, which were defined by the second author, are analogues to 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.

Original languageEnglish
Pages (from-to)207-218
Number of pages12
JournalInternational Journal of Number Theory
Volume16
Issue number1
DOIs
Publication statusPublished - 2020 Feb 1
Externally publishedYes

Keywords

  • Eisenstein polynomials
  • weight enumerators
  • zeta polynomials

ASJC Scopus subject areas

  • Algebra and Number Theory

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