A sum of negative degrees of the gaps values in 2 and 3-generated numerical semigroups

Leonid G. Fel; Takao Komatsu; Ade Irma Suriajaya

doi:10.33039/ami.2020.08.001

A sum of negative degrees of the gaps values in 2 and 3-generated numerical semigroups

Leonid G. Fel, Takao Komatsu, Ade Irma Suriajaya

数学部門

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

3 被引用数 (Scopus)

抄録

We show explicit expressions for an inverse power series over the gaps values of numerical semigroups generated by two and three integers. As an application, a set of identities of the Hurwitz zeta functions is derived.

本文言語	英語
ページ（範囲）	85-95
ページ数	11
ジャーナル	Annales Mathematicae et Informaticae
巻	52
DOI	https://doi.org/10.33039/ami.2020.08.001
出版ステータス	出版済み - 2020

All Science Journal Classification (ASJC) codes

コンピュータサイエンス（全般）
数学 (全般)

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10.33039/ami.2020.08.001

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引用スタイル

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title = "A sum of negative degrees of the gaps values in 2 and 3-generated numerical semigroups",

abstract = "We show explicit expressions for an inverse power series over the gaps values of numerical semigroups generated by two and three integers. As an application, a set of identities of the Hurwitz zeta functions is derived.",

author = "Fel, {Leonid G.} and Takao Komatsu and Suriajaya, {Ade Irma}",

year = "2020",

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journal = "Annales Mathematicae et Informaticae",

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AU - Fel, Leonid G.

AU - Komatsu, Takao

AU - Suriajaya, Ade Irma

PY - 2020

Y1 - 2020

N2 - We show explicit expressions for an inverse power series over the gaps values of numerical semigroups generated by two and three integers. As an application, a set of identities of the Hurwitz zeta functions is derived.

AB - We show explicit expressions for an inverse power series over the gaps values of numerical semigroups generated by two and three integers. As an application, a set of identities of the Hurwitz zeta functions is derived.

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U2 - 10.33039/ami.2020.08.001

DO - 10.33039/ami.2020.08.001

M3 - Article

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JO - Annales Mathematicae et Informaticae

JF - Annales Mathematicae et Informaticae

SN - 1787-5021

ER -

A sum of negative degrees of the gaps values in 2 and 3-generated numerical semigroups

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All Science Journal Classification (ASJC) codes

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