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Journal of Pure and Applied Algebra
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arXiv.org e-Print Archive
Preprint . 2018
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Journal of Pure and Applied Algebra
Article . 2019 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2018
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Journal of Pure and Applied Algebra
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On Eisenstein polynomials and zeta polynomials

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2019Embargo end date: 01 Jan 2018 English Publisher:Elsevier BVJournal:Journal of Pure and Applied Algebra, volume 223, pages 4,153-4,160 (issn: 0022-4049, Copyright policy )
Authors: Tsuyoshi Miezaki;

doi: 10.1016/j.jpaa.2019.01.002 , 10.48550/arxiv.1807.02744

arXiv: http://arxiv.org/abs/1807.02744

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.

11 pages

Related Organizations
Keywords

Mathematics - Number Theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Number Theory (math.NT), 94B05 (Primary), 11T71, 11F11 (Secondary)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
bronze