On Eisenstein polynomials and zeta polynomials

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1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)4153-4160
Number of pages8
JournalJournal of Pure and Applied Algebra
Volume223
Issue number10
DOIs
Publication statusPublished - 2019 Oct
Externally publishedYes

Keywords

  • Eisenstein polynomials
  • Weight enumerators
  • Zeta polynomials

ASJC Scopus subject areas

  • Algebra and Number Theory

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