On Eisenstein polynomials and zeta polynomials

Tsuyoshi Miezaki

doi:10.1016/j.jpaa.2019.01.002

On Eisenstein polynomials and zeta polynomials

Tsuyoshi Miezaki

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	4153-4160
Number of pages	8
Journal	Journal of Pure and Applied Algebra
Volume	223
Issue number	10
DOIs	https://doi.org/10.1016/j.jpaa.2019.01.002
Publication status	Published - 2019 Oct
Externally published	Yes

Keywords

Eisenstein polynomials
Weight enumerators
Zeta polynomials

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2019.01.002

Cite this

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title = "On Eisenstein polynomials and zeta polynomials",

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 = "Eisenstein polynomials, Weight enumerators, Zeta polynomials",

author = "Tsuyoshi Miezaki",

note = "Funding Information: This work was supported by JSPS KAKENHI ( 18K03217 ). Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",

year = "2019",

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doi = "10.1016/j.jpaa.2019.01.002",

language = "English",

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AB - 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.

KW - Eisenstein polynomials

KW - Weight enumerators

KW - Zeta polynomials

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ER -

On Eisenstein polynomials and zeta polynomials

Abstract

Keywords

ASJC Scopus subject areas

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