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

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

doi:info:doi/10.18910/76677

このアイテムのアクセス数:9件（2021-03-09 01:23 集計）

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論文情報

タイトル	BOWMAN-BRADLEY TYPE THEOREM FOR FINITE MULTIPLE ZETA VALUES IN A₂
著者	Murahara, Hideki Murahara, Hideki
	Onozuka, Tomokazu Onozuka, Tomokazu
	Seki, Shin-ichiro 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.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	57
号	3
開始ページ	647
終了ページ	653
刊行年月	2020-07
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/76677
言語	英語
DOI	info:doi/10.18910/76677
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）

著者版フラグ	publisher
NII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.57(3) P.647-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2020-07
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/76677
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	info:doi/10.18910/76677
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_issn	00306126
citation_public_url	http://hdl.handle.net/11094/76677
citation_doi	info:doi/10.18910/76677

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