BOWMAN-BRADLEY TYPE THEOREM FOR FINITE MULTIPLE ZETA VALUES IN A₂

Murahara, Hideki; Onozuka, Tomokazu; Seki, Shin-ichiro

doi:https://doi.org/10.18910/76677

アクセス数:89件（2024-04-23 16:44 集計）

固定URL: https://doi.org/10.18910/76677

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タイトル	BOWMAN-BRADLEY TYPE THEOREM FOR FINITE MULTIPLE ZETA VALUES IN A₂
著者	著者名 Murahara, Hideki
	NRID 1000080838722 1000080838722 著者名 Onozuka, Tomokazu
	著者名 Seki, Shin-ichiro
抄録	Bowman and Bradley obtained a remarkable formula among multiple zeta values. The formula states that the sum of multiple zeta values for indices which consist of the shuffle of two kinds of the strings {1, 3, . . . , 1, 3} and {2, . . . , 2} is a rational multiple of a power of π². Recently, Saito and Wakabayashi proved that analogous but more general sums of finite multiple zeta values in an adelic ring A₁ vanish. In this paper, we partially lift Saito-Wakabayashi’s theorem from A₁ to A₂. Our result states that a Bowman-Bradley type sum of finite multiple zeta values in A₂ is a rational multiple of a special element and this is closer to the original Bowman-Bradley theorem.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	57(3)
ページ	647-653
刊行年月	2020-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/76677
DOI	https://doi.org/10.18910/76677
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 57, Number 3 （2020-7）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2020, 57(3), p. 647-653
DC.title	BOWMAN-BRADLEY TYPE THEOREM FOR FINITE MULTIPLE ZETA VALUES IN A₂
DC.creator	Murahara, Hideki
	Onozuka, Tomokazu
	Seki, Shin-ichiro
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2020-07
DCTERMS.abstract	Bowman and Bradley obtained a remarkable formula among multiple zeta values. The formula states that the sum of multiple zeta values for indices which consist of the shuffle of two kinds of the strings {1, 3, . . . , 1, 3} and {2, . . . , 2} is a rational multiple of a power of π². Recently, Saito and Wakabayashi proved that analogous but more general sums of finite multiple zeta values in an adelic ring A₁ vanish. In this paper, we partially lift Saito-Wakabayashi’s theorem from A₁ to A₂. Our result states that a Bowman-Bradley type sum of finite multiple zeta values in A₂ is a rational multiple of a special element and this is closer to the original Bowman-Bradley theorem.
DC.identifier	10.18910/76677
DC.format	application/pdf
citation_title	BOWMAN-BRADLEY TYPE THEOREM FOR FINITE MULTIPLE ZETA VALUES IN A₂
citation_author	Murahara, Hideki
	Onozuka, Tomokazu
	Seki, Shin-ichiro
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2020-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	57
citation_issue	3
citation_firstpage	647
citation_lastpage	653
citation_public_url	https://hdl.handle.net/11094/76677
citation_doi_detail	10.18910/76677
citation_doi	https://doi.org/10.18910/76677

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